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Finding the Fourth Proportional to 538,428.74, 742,996.51 and 296,711.25

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Solution

The fourth proportional to 538,428.74, 742,996.51 and 296,711.25 is: 409,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,428.74 : 742,996.51 = 296,711.25 : x
  2. Step 2: Convert to fraction form
    538,428.74/742,996.51 = 296,711.25/x
  3. Step 3: Cross multiply
    538,428.74x = 742,996.51 × 296,711.25
  4. Step 4: Simplify right side
    538,428.74x = 220,455,425,548.08
  5. Step 5: Solve for x
    x = 220,455,425,548.08/538,428.74
  6. Step 6: Final answer
    x = 409,442.16

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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.