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Finding the Fourth Proportional to 516,116.97, 712,297.25 and 312,280.30

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Solution

The fourth proportional to 516,116.97, 712,297.25 and 312,280.30 is: 430,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,116.97 : 712,297.25 = 312,280.30 : x
  2. Step 2: Convert to fraction form
    516,116.97/712,297.25 = 312,280.30/x
  3. Step 3: Cross multiply
    516,116.97x = 712,297.25 × 312,280.30
  4. Step 4: Simplify right side
    516,116.97x = 222,436,397,357.77
  5. Step 5: Solve for x
    x = 222,436,397,357.77/516,116.97
  6. Step 6: Final answer
    x = 430,980.60

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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.