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Finding the Fourth Proportional to 610,863.73, 843,487.23 and 381,688

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Solution

The fourth proportional to 610,863.73, 843,487.23 and 381,688 is: 527,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,863.73 : 843,487.23 = 381,688 : x
  2. Step 2: Convert to fraction form
    610,863.73/843,487.23 = 381,688/x
  3. Step 3: Cross multiply
    610,863.73x = 843,487.23 × 381,688
  4. Step 4: Simplify right side
    610,863.73x = 321,948,953,844.24
  5. Step 5: Solve for x
    x = 321,948,953,844.24/610,863.73
  6. Step 6: Final answer
    x = 527,038.91

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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.