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Finding the Fourth Proportional to 802,911.72, 1,107,938.34 and 463,489.32

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Solution

The fourth proportional to 802,911.72, 1,107,938.34 and 463,489.32 is: 639,569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,911.72 : 1,107,938.34 = 463,489.32 : x
  2. Step 2: Convert to fraction form
    802,911.72/1,107,938.34 = 463,489.32/x
  3. Step 3: Cross multiply
    802,911.72x = 1,107,938.34 × 463,489.32
  4. Step 4: Simplify right side
    802,911.72x = 513,517,587,808.53
  5. Step 5: Solve for x
    x = 513,517,587,808.53/802,911.72
  6. Step 6: Final answer
    x = 639,569.18

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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.