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Finding the Fourth Proportional to 459,901.80, 689,852.70 and 400,852.80

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Solution

The fourth proportional to 459,901.80, 689,852.70 and 400,852.80 is: 601,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,901.80 : 689,852.70 = 400,852.80 : x
  2. Step 2: Convert to fraction form
    459,901.80/689,852.70 = 400,852.80/x
  3. Step 3: Cross multiply
    459,901.80x = 689,852.70 × 400,852.80
  4. Step 4: Simplify right side
    459,901.80x = 276,529,386,382.56
  5. Step 5: Solve for x
    x = 276,529,386,382.56/459,901.80
  6. Step 6: Final answer
    x = 601,279.20

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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.