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Finding the Fourth Proportional to 513,468.95, 708,532.61 and 283,989.78

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Solution

The fourth proportional to 513,468.95, 708,532.61 and 283,989.78 is: 391,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,468.95 : 708,532.61 = 283,989.78 : x
  2. Step 2: Convert to fraction form
    513,468.95/708,532.61 = 283,989.78/x
  3. Step 3: Cross multiply
    513,468.95x = 708,532.61 × 283,989.78
  4. Step 4: Simplify right side
    513,468.95x = 201,216,018,616.78
  5. Step 5: Solve for x
    x = 201,216,018,616.78/513,468.95
  6. Step 6: Final answer
    x = 391,875.73

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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.