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Finding the Fourth Proportional to 292,496.38, 438,689.07 and 142,585.90

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Solution

The fourth proportional to 292,496.38, 438,689.07 and 142,585.90 is: 213,851.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,496.38 : 438,689.07 = 142,585.90 : x
  2. Step 2: Convert to fraction form
    292,496.38/438,689.07 = 142,585.90/x
  3. Step 3: Cross multiply
    292,496.38x = 438,689.07 × 142,585.90
  4. Step 4: Simplify right side
    292,496.38x = 62,550,875,866.11
  5. Step 5: Solve for x
    x = 62,550,875,866.11/292,496.38
  6. Step 6: Final answer
    x = 213,851.79

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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.