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Finding the Fourth Proportional to 318,338.47, 477,455.80 and 93,646.36

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Solution

The fourth proportional to 318,338.47, 477,455.80 and 93,646.36 is: 140,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,338.47 : 477,455.80 = 93,646.36 : x
  2. Step 2: Convert to fraction form
    318,338.47/477,455.80 = 93,646.36/x
  3. Step 3: Cross multiply
    318,338.47x = 477,455.80 × 93,646.36
  4. Step 4: Simplify right side
    318,338.47x = 44,711,997,730.89
  5. Step 5: Solve for x
    x = 44,711,997,730.89/318,338.47
  6. Step 6: Final answer
    x = 140,454.27

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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.