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Finding the Fourth Proportional to 478,002.47, 716,836.64 and 140,953.64

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Solution

The fourth proportional to 478,002.47, 716,836.64 and 140,953.64 is: 211,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,002.47 : 716,836.64 = 140,953.64 : x
  2. Step 2: Convert to fraction form
    478,002.47/716,836.64 = 140,953.64/x
  3. Step 3: Cross multiply
    478,002.47x = 716,836.64 × 140,953.64
  4. Step 4: Simplify right side
    478,002.47x = 101,040,729,404.42
  5. Step 5: Solve for x
    x = 101,040,729,404.42/478,002.47
  6. Step 6: Final answer
    x = 211,381.19

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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.