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Finding the Fourth Proportional to 516,117.47, 712,297.94 and 312,280.80

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Solution

The fourth proportional to 516,117.47, 712,297.94 and 312,280.80 is: 430,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,117.47 : 712,297.94 = 312,280.80 : x
  2. Step 2: Convert to fraction form
    516,117.47/712,297.94 = 312,280.80/x
  3. Step 3: Cross multiply
    516,117.47x = 712,297.94 × 312,280.80
  4. Step 4: Simplify right side
    516,117.47x = 222,436,970,541.55
  5. Step 5: Solve for x
    x = 222,436,970,541.55/516,117.47
  6. Step 6: Final answer
    x = 430,981.29

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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.