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Finding the Fourth Proportional to 459,712.80, 688,289.40 and 234,586.80

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Solution

The fourth proportional to 459,712.80, 688,289.40 and 234,586.80 is: 351,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,712.80 : 688,289.40 = 234,586.80 : x
  2. Step 2: Convert to fraction form
    459,712.80/688,289.40 = 234,586.80/x
  3. Step 3: Cross multiply
    459,712.80x = 688,289.40 × 234,586.80
  4. Step 4: Simplify right side
    459,712.80x = 161,463,607,819.92
  5. Step 5: Solve for x
    x = 161,463,607,819.92/459,712.80
  6. Step 6: Final answer
    x = 351,227.13

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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.