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Finding the Fourth Proportional to 718,872, 992,043.36 and 400,920

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Solution

The fourth proportional to 718,872, 992,043.36 and 400,920 is: 553,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,872 : 992,043.36 = 400,920 : x
  2. Step 2: Convert to fraction form
    718,872/992,043.36 = 400,920/x
  3. Step 3: Cross multiply
    718,872x = 992,043.36 × 400,920
  4. Step 4: Simplify right side
    718,872x = 397,730,023,891.20
  5. Step 5: Solve for x
    x = 397,730,023,891.20/718,872
  6. Step 6: Final answer
    x = 553,269.60

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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.