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Finding the Fourth Proportional to 486,713.95, 729,052.57 and 391,429.08

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Solution

The fourth proportional to 486,713.95, 729,052.57 and 391,429.08 is: 586,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,713.95 : 729,052.57 = 391,429.08 : x
  2. Step 2: Convert to fraction form
    486,713.95/729,052.57 = 391,429.08/x
  3. Step 3: Cross multiply
    486,713.95x = 729,052.57 × 391,429.08
  4. Step 4: Simplify right side
    486,713.95x = 285,372,376,746.74
  5. Step 5: Solve for x
    x = 285,372,376,746.74/486,713.95
  6. Step 6: Final answer
    x = 586,324.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.