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Finding the Fourth Proportional to 538,374.18, 742,989 and 296,656.47

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Solution

The fourth proportional to 538,374.18, 742,989 and 296,656.47 is: 409,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,374.18 : 742,989 = 296,656.47 : x
  2. Step 2: Convert to fraction form
    538,374.18/742,989 = 296,656.47/x
  3. Step 3: Cross multiply
    538,374.18x = 742,989 × 296,656.47
  4. Step 4: Simplify right side
    538,374.18x = 220,412,493,988.83
  5. Step 5: Solve for x
    x = 220,412,493,988.83/538,374.18
  6. Step 6: Final answer
    x = 409,403.91

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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.