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Finding the Fourth Proportional to 461,140.20, 691,710.30 and 425,710.80

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Solution

The fourth proportional to 461,140.20, 691,710.30 and 425,710.80 is: 638,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,140.20 : 691,710.30 = 425,710.80 : x
  2. Step 2: Convert to fraction form
    461,140.20/691,710.30 = 425,710.80/x
  3. Step 3: Cross multiply
    461,140.20x = 691,710.30 × 425,710.80
  4. Step 4: Simplify right side
    461,140.20x = 294,468,545,181.24
  5. Step 5: Solve for x
    x = 294,468,545,181.24/461,140.20
  6. Step 6: Final answer
    x = 638,566.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.