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Finding the Fourth Proportional to 723,740.82, 998,743.06 and 417,806.86

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Solution

The fourth proportional to 723,740.82, 998,743.06 and 417,806.86 is: 576,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,740.82 : 998,743.06 = 417,806.86 : x
  2. Step 2: Convert to fraction form
    723,740.82/998,743.06 = 417,806.86/x
  3. Step 3: Cross multiply
    723,740.82x = 998,743.06 × 417,806.86
  4. Step 4: Simplify right side
    723,740.82x = 417,281,701,743.44
  5. Step 5: Solve for x
    x = 417,281,701,743.44/723,740.82
  6. Step 6: Final answer
    x = 576,562.34

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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.