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Finding the Fourth Proportional to 538,148.93, 742,642.07 and 296,425.90

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Solution

The fourth proportional to 538,148.93, 742,642.07 and 296,425.90 is: 409,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,148.93 : 742,642.07 = 296,425.90 : x
  2. Step 2: Convert to fraction form
    538,148.93/742,642.07 = 296,425.90/x
  3. Step 3: Cross multiply
    538,148.93x = 742,642.07 × 296,425.90
  4. Step 4: Simplify right side
    538,148.93x = 220,138,342,862.07
  5. Step 5: Solve for x
    x = 220,138,342,862.07/538,148.93
  6. Step 6: Final answer
    x = 409,065.84

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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.