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Finding the Fourth Proportional to 516,711, 713,127.96 and 290,356.56

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Solution

The fourth proportional to 516,711, 713,127.96 and 290,356.56 is: 400,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,711 : 713,127.96 = 290,356.56 : x
  2. Step 2: Convert to fraction form
    516,711/713,127.96 = 290,356.56/x
  3. Step 3: Cross multiply
    516,711x = 713,127.96 × 290,356.56
  4. Step 4: Simplify right side
    516,711x = 207,061,381,305.42
  5. Step 5: Solve for x
    x = 207,061,381,305.42/516,711
  6. Step 6: Final answer
    x = 400,729.58

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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.