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Finding the Fourth Proportional to 537,892.56, 742,391.28 and 311,538

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Solution

The fourth proportional to 537,892.56, 742,391.28 and 311,538 is: 429,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,892.56 : 742,391.28 = 311,538 : x
  2. Step 2: Convert to fraction form
    537,892.56/742,391.28 = 311,538/x
  3. Step 3: Cross multiply
    537,892.56x = 742,391.28 × 311,538
  4. Step 4: Simplify right side
    537,892.56x = 231,283,094,588.64
  5. Step 5: Solve for x
    x = 231,283,094,588.64/537,892.56
  6. Step 6: Final answer
    x = 429,980.10

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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.