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Finding the Fourth Proportional to 478,315.78, 717,473.67 and 416,729.86

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Solution

The fourth proportional to 478,315.78, 717,473.67 and 416,729.86 is: 625,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,315.78 : 717,473.67 = 416,729.86 : x
  2. Step 2: Convert to fraction form
    478,315.78/717,473.67 = 416,729.86/x
  3. Step 3: Cross multiply
    478,315.78x = 717,473.67 × 416,729.86
  4. Step 4: Simplify right side
    478,315.78x = 298,992,702,052.79
  5. Step 5: Solve for x
    x = 298,992,702,052.79/478,315.78
  6. Step 6: Final answer
    x = 625,094.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.