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Finding the Fourth Proportional to 387,702.12, 535,053.42 and 217,947.18

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Solution

The fourth proportional to 387,702.12, 535,053.42 and 217,947.18 is: 300,780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,702.12 : 535,053.42 = 217,947.18 : x
  2. Step 2: Convert to fraction form
    387,702.12/535,053.42 = 217,947.18/x
  3. Step 3: Cross multiply
    387,702.12x = 535,053.42 × 217,947.18
  4. Step 4: Simplify right side
    387,702.12x = 116,613,384,038.36
  5. Step 5: Solve for x
    x = 116,613,384,038.36/387,702.12
  6. Step 6: Final answer
    x = 300,780.88

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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.