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Finding the Fourth Proportional to 517,531.43, 714,269.64 and 310,813.76

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Solution

The fourth proportional to 517,531.43, 714,269.64 and 310,813.76 is: 428,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,531.43 : 714,269.64 = 310,813.76 : x
  2. Step 2: Convert to fraction form
    517,531.43/714,269.64 = 310,813.76/x
  3. Step 3: Cross multiply
    517,531.43x = 714,269.64 × 310,813.76
  4. Step 4: Simplify right side
    517,531.43x = 222,004,831,395.71
  5. Step 5: Solve for x
    x = 222,004,831,395.71/517,531.43
  6. Step 6: Final answer
    x = 428,968.79

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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.