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Finding the Fourth Proportional to 459,657.63, 689,486.45 and 144,139.95

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Solution

The fourth proportional to 459,657.63, 689,486.45 and 144,139.95 is: 216,209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,657.63 : 689,486.45 = 144,139.95 : x
  2. Step 2: Convert to fraction form
    459,657.63/689,486.45 = 144,139.95/x
  3. Step 3: Cross multiply
    459,657.63x = 689,486.45 × 144,139.95
  4. Step 4: Simplify right side
    459,657.63x = 99,382,541,707.98
  5. Step 5: Solve for x
    x = 99,382,541,707.98/459,657.63
  6. Step 6: Final answer
    x = 216,209.93

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.