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Finding the Fourth Proportional to 642,534, 886,702.18 and 356,058.86

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Solution

The fourth proportional to 642,534, 886,702.18 and 356,058.86 is: 491,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,534 : 886,702.18 = 356,058.86 : x
  2. Step 2: Convert to fraction form
    642,534/886,702.18 = 356,058.86/x
  3. Step 3: Cross multiply
    642,534x = 886,702.18 × 356,058.86
  4. Step 4: Simplify right side
    642,534x = 315,718,167,370.32
  5. Step 5: Solve for x
    x = 315,718,167,370.32/642,534
  6. Step 6: Final answer
    x = 491,364.14

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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.