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Finding the Fourth Proportional to 431,646.30, 648,052.65 and 274,182.30

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Solution

The fourth proportional to 431,646.30, 648,052.65 and 274,182.30 is: 411,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,646.30 : 648,052.65 = 274,182.30 : x
  2. Step 2: Convert to fraction form
    431,646.30/648,052.65 = 274,182.30/x
  3. Step 3: Cross multiply
    431,646.30x = 648,052.65 × 274,182.30
  4. Step 4: Simplify right side
    431,646.30x = 177,684,566,098.10
  5. Step 5: Solve for x
    x = 177,684,566,098.10/431,646.30
  6. Step 6: Final answer
    x = 411,643.90

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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.