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Finding the Fourth Proportional to 516,221.80, 774,825.22 and 316,931.42

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Solution

The fourth proportional to 516,221.80, 774,825.22 and 316,931.42 is: 475,699.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,221.80 : 774,825.22 = 316,931.42 : x
  2. Step 2: Convert to fraction form
    516,221.80/774,825.22 = 316,931.42/x
  3. Step 3: Cross multiply
    516,221.80x = 774,825.22 × 316,931.42
  4. Step 4: Simplify right side
    516,221.80x = 245,566,459,584.25
  5. Step 5: Solve for x
    x = 245,566,459,584.25/516,221.80
  6. Step 6: Final answer
    x = 475,699.52

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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.