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Finding the Fourth Proportional to 513,373.68, 708,171.32 and 298,490

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Solution

The fourth proportional to 513,373.68, 708,171.32 and 298,490 is: 411,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,373.68 : 708,171.32 = 298,490 : x
  2. Step 2: Convert to fraction form
    513,373.68/708,171.32 = 298,490/x
  3. Step 3: Cross multiply
    513,373.68x = 708,171.32 × 298,490
  4. Step 4: Simplify right side
    513,373.68x = 211,382,057,306.80
  5. Step 5: Solve for x
    x = 211,382,057,306.80/513,373.68
  6. Step 6: Final answer
    x = 411,750.87

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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.