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Finding the Fourth Proportional to 727,411.38, 1,003,828 and 421,665.10

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Solution

The fourth proportional to 727,411.38, 1,003,828 and 421,665.10 is: 581,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,411.38 : 1,003,828 = 421,665.10 : x
  2. Step 2: Convert to fraction form
    727,411.38/1,003,828 = 421,665.10/x
  3. Step 3: Cross multiply
    727,411.38x = 1,003,828 × 421,665.10
  4. Step 4: Simplify right side
    727,411.38x = 423,279,234,002.80
  5. Step 5: Solve for x
    x = 423,279,234,002.80/727,411.38
  6. Step 6: Final answer
    x = 581,898.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.