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Finding the Fourth Proportional to 663,776, 916,080 and 409,120.64

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Solution

The fourth proportional to 663,776, 916,080 and 409,120.64 is: 564,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,776 : 916,080 = 409,120.64 : x
  2. Step 2: Convert to fraction form
    663,776/916,080 = 409,120.64/x
  3. Step 3: Cross multiply
    663,776x = 916,080 × 409,120.64
  4. Step 4: Simplify right side
    663,776x = 374,787,235,891.20
  5. Step 5: Solve for x
    x = 374,787,235,891.20/663,776
  6. Step 6: Final answer
    x = 564,629.09

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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.