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Finding the Fourth Proportional to 513,470.06, 708,534.14 and 283,990.88

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Solution

The fourth proportional to 513,470.06, 708,534.14 and 283,990.88 is: 391,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,470.06 : 708,534.14 = 283,990.88 : x
  2. Step 2: Convert to fraction form
    513,470.06/708,534.14 = 283,990.88/x
  3. Step 3: Cross multiply
    513,470.06x = 708,534.14 × 283,990.88
  4. Step 4: Simplify right side
    513,470.06x = 201,217,233,928.64
  5. Step 5: Solve for x
    x = 201,217,233,928.64/513,470.06
  6. Step 6: Final answer
    x = 391,877.25

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1.5x scale

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.