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Finding the Fourth Proportional to 515,507.40, 711,381.52 and 286,074.70

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Solution

The fourth proportional to 515,507.40, 711,381.52 and 286,074.70 is: 394,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,507.40 : 711,381.52 = 286,074.70 : x
  2. Step 2: Convert to fraction form
    515,507.40/711,381.52 = 286,074.70/x
  3. Step 3: Cross multiply
    515,507.40x = 711,381.52 × 286,074.70
  4. Step 4: Simplify right side
    515,507.40x = 203,508,253,498.68
  5. Step 5: Solve for x
    x = 203,508,253,498.68/515,507.40
  6. Step 6: Final answer
    x = 394,772.71

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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.