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Finding the Fourth Proportional to 516,219.87, 712,431.55 and 312,320.87

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Solution

The fourth proportional to 516,219.87, 712,431.55 and 312,320.87 is: 431,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,219.87 : 712,431.55 = 312,320.87 : x
  2. Step 2: Convert to fraction form
    516,219.87/712,431.55 = 312,320.87/x
  3. Step 3: Cross multiply
    516,219.87x = 712,431.55 × 312,320.87
  4. Step 4: Simplify right side
    516,219.87x = 222,507,241,511.45
  5. Step 5: Solve for x
    x = 222,507,241,511.45/516,219.87
  6. Step 6: Final answer
    x = 431,031.92

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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.