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Finding the Fourth Proportional to 513,469.06, 708,532.76 and 283,989.88

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Solution

The fourth proportional to 513,469.06, 708,532.76 and 283,989.88 is: 391,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,469.06 : 708,532.76 = 283,989.88 : x
  2. Step 2: Convert to fraction form
    513,469.06/708,532.76 = 283,989.88/x
  3. Step 3: Cross multiply
    513,469.06x = 708,532.76 × 283,989.88
  4. Step 4: Simplify right side
    513,469.06x = 201,216,133,488.47
  5. Step 5: Solve for x
    x = 201,216,133,488.47/513,469.06
  6. Step 6: Final answer
    x = 391,875.87

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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.