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Finding the Fourth Proportional to 723,788.80, 998,809.24 and 417,854.88

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Solution

The fourth proportional to 723,788.80, 998,809.24 and 417,854.88 is: 576,628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,788.80 : 998,809.24 = 417,854.88 : x
  2. Step 2: Convert to fraction form
    723,788.80/998,809.24 = 417,854.88/x
  3. Step 3: Cross multiply
    723,788.80x = 998,809.24 × 417,854.88
  4. Step 4: Simplify right side
    723,788.80x = 417,357,315,123.09
  5. Step 5: Solve for x
    x = 417,357,315,123.09/723,788.80
  6. Step 6: Final answer
    x = 576,628.59

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1.5x scale

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.