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Finding the Fourth Proportional to 459,411.40, 687,734.70 and 404,115.40

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Solution

The fourth proportional to 459,411.40, 687,734.70 and 404,115.40 is: 604,957.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,411.40 : 687,734.70 = 404,115.40 : x
  2. Step 2: Convert to fraction form
    459,411.40/687,734.70 = 404,115.40/x
  3. Step 3: Cross multiply
    459,411.40x = 687,734.70 × 404,115.40
  4. Step 4: Simplify right side
    459,411.40x = 277,924,183,384.38
  5. Step 5: Solve for x
    x = 277,924,183,384.38/459,411.40
  6. Step 6: Final answer
    x = 604,957.09

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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.