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Finding the Fourth Proportional to 661,345.80, 991,231.14 and 460,579.20

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Solution

The fourth proportional to 661,345.80, 991,231.14 and 460,579.20 is: 690,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,345.80 : 991,231.14 = 460,579.20 : x
  2. Step 2: Convert to fraction form
    661,345.80/991,231.14 = 460,579.20/x
  3. Step 3: Cross multiply
    661,345.80x = 991,231.14 × 460,579.20
  4. Step 4: Simplify right side
    661,345.80x = 456,540,445,476.29
  5. Step 5: Solve for x
    x = 456,540,445,476.29/661,345.80
  6. Step 6: Final answer
    x = 690,320.32

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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.