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Finding the Fourth Proportional to 516,480.68, 774,765.70 and 142,503.64

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Solution

The fourth proportional to 516,480.68, 774,765.70 and 142,503.64 is: 213,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,480.68 : 774,765.70 = 142,503.64 : x
  2. Step 2: Convert to fraction form
    516,480.68/774,765.70 = 142,503.64/x
  3. Step 3: Cross multiply
    516,480.68x = 774,765.70 × 142,503.64
  4. Step 4: Simplify right side
    516,480.68x = 110,406,932,397.15
  5. Step 5: Solve for x
    x = 110,406,932,397.15/516,480.68
  6. Step 6: Final answer
    x = 213,767.79

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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.