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Finding the Fourth Proportional to 292,102.56, 438,170.37 and 142,470.87

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Solution

The fourth proportional to 292,102.56, 438,170.37 and 142,470.87 is: 213,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,102.56 : 438,170.37 = 142,470.87 : x
  2. Step 2: Convert to fraction form
    292,102.56/438,170.37 = 142,470.87/x
  3. Step 3: Cross multiply
    292,102.56x = 438,170.37 × 142,470.87
  4. Step 4: Simplify right side
    292,102.56x = 62,426,513,822.12
  5. Step 5: Solve for x
    x = 62,426,513,822.12/292,102.56
  6. Step 6: Final answer
    x = 213,714.37

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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.