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Finding the Fourth Proportional to 417,760.47, 576,211.68 and 383,416.02

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Solution

The fourth proportional to 417,760.47, 576,211.68 and 383,416.02 is: 528,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,760.47 : 576,211.68 = 383,416.02 : x
  2. Step 2: Convert to fraction form
    417,760.47/576,211.68 = 383,416.02/x
  3. Step 3: Cross multiply
    417,760.47x = 576,211.68 × 383,416.02
  4. Step 4: Simplify right side
    417,760.47x = 220,928,789,023.11
  5. Step 5: Solve for x
    x = 220,928,789,023.11/417,760.47
  6. Step 6: Final answer
    x = 528,840.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.