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Finding the Fourth Proportional to 459,463.46, 689,195.20 and 209,970.50

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Solution

The fourth proportional to 459,463.46, 689,195.20 and 209,970.50 is: 314,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,463.46 : 689,195.20 = 209,970.50 : x
  2. Step 2: Convert to fraction form
    459,463.46/689,195.20 = 209,970.50/x
  3. Step 3: Cross multiply
    459,463.46x = 689,195.20 × 209,970.50
  4. Step 4: Simplify right side
    459,463.46x = 144,710,660,741.60
  5. Step 5: Solve for x
    x = 144,710,660,741.60/459,463.46
  6. Step 6: Final answer
    x = 314,955.75

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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.