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Finding the Fourth Proportional to 459,432.40, 687,766.20 and 404,136.40

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Solution

The fourth proportional to 459,432.40, 687,766.20 and 404,136.40 is: 604,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,432.40 : 687,766.20 = 404,136.40 : x
  2. Step 2: Convert to fraction form
    459,432.40/687,766.20 = 404,136.40/x
  3. Step 3: Cross multiply
    459,432.40x = 687,766.20 × 404,136.40
  4. Step 4: Simplify right side
    459,432.40x = 277,951,356,109.68
  5. Step 5: Solve for x
    x = 277,951,356,109.68/459,432.40
  6. Step 6: Final answer
    x = 604,988.58

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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.