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Finding the Fourth Proportional to 742,978.71, 1,025,311.23 and 420,689.32

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Solution

The fourth proportional to 742,978.71, 1,025,311.23 and 420,689.32 is: 580,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,978.71 : 1,025,311.23 = 420,689.32 : x
  2. Step 2: Convert to fraction form
    742,978.71/1,025,311.23 = 420,689.32/x
  3. Step 3: Cross multiply
    742,978.71x = 1,025,311.23 × 420,689.32
  4. Step 4: Simplify right side
    742,978.71x = 431,337,481,573.79
  5. Step 5: Solve for x
    x = 431,337,481,573.79/742,978.71
  6. Step 6: Final answer
    x = 580,551.60

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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.