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Finding the Fourth Proportional to 516,328.56, 712,565.04 and 289,974

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Solution

The fourth proportional to 516,328.56, 712,565.04 and 289,974 is: 400,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,328.56 : 712,565.04 = 289,974 : x
  2. Step 2: Convert to fraction form
    516,328.56/712,565.04 = 289,974/x
  3. Step 3: Cross multiply
    516,328.56x = 712,565.04 × 289,974
  4. Step 4: Simplify right side
    516,328.56x = 206,625,334,908.96
  5. Step 5: Solve for x
    x = 206,625,334,908.96/516,328.56
  6. Step 6: Final answer
    x = 400,181.88

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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.