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Finding the Fourth Proportional to 292,354.31, 438,531.47 and 70,738.31

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Solution

The fourth proportional to 292,354.31, 438,531.47 and 70,738.31 is: 106,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,354.31 : 438,531.47 = 70,738.31 : x
  2. Step 2: Convert to fraction form
    292,354.31/438,531.47 = 70,738.31/x
  3. Step 3: Cross multiply
    292,354.31x = 438,531.47 × 70,738.31
  4. Step 4: Simplify right side
    292,354.31x = 31,020,976,077.52
  5. Step 5: Solve for x
    x = 31,020,976,077.52/292,354.31
  6. Step 6: Final answer
    x = 106,107.47

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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.