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Finding the Fourth Proportional to 802,147.11, 1,202,411.05 and 502,837.88

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Solution

The fourth proportional to 802,147.11, 1,202,411.05 and 502,837.88 is: 753,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,147.11 : 1,202,411.05 = 502,837.88 : x
  2. Step 2: Convert to fraction form
    802,147.11/1,202,411.05 = 502,837.88/x
  3. Step 3: Cross multiply
    802,147.11x = 1,202,411.05 × 502,837.88
  4. Step 4: Simplify right side
    802,147.11x = 604,617,823,270.57
  5. Step 5: Solve for x
    x = 604,617,823,270.57/802,147.11
  6. Step 6: Final answer
    x = 753,749.30

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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.