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Finding the Fourth Proportional to 516,403.50, 712,621.43 and 286,960.08

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Solution

The fourth proportional to 516,403.50, 712,621.43 and 286,960.08 is: 395,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,403.50 : 712,621.43 = 286,960.08 : x
  2. Step 2: Convert to fraction form
    516,403.50/712,621.43 = 286,960.08/x
  3. Step 3: Cross multiply
    516,403.50x = 712,621.43 × 286,960.08
  4. Step 4: Simplify right side
    516,403.50x = 204,493,901,127.71
  5. Step 5: Solve for x
    x = 204,493,901,127.71/516,403.50
  6. Step 6: Final answer
    x = 395,996.35

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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.