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Finding the Fourth Proportional to 516,465.68, 712,605.85 and 312,511.46

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Solution

The fourth proportional to 516,465.68, 712,605.85 and 312,511.46 is: 431,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,465.68 : 712,605.85 = 312,511.46 : x
  2. Step 2: Convert to fraction form
    516,465.68/712,605.85 = 312,511.46/x
  3. Step 3: Cross multiply
    516,465.68x = 712,605.85 × 312,511.46
  4. Step 4: Simplify right side
    516,465.68x = 222,697,490,243.73
  5. Step 5: Solve for x
    x = 222,697,490,243.73/516,465.68
  6. Step 6: Final answer
    x = 431,195.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.