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Finding the Fourth Proportional to 527,691.81, 728,213.59 and 285,980.32

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Solution

The fourth proportional to 527,691.81, 728,213.59 and 285,980.32 is: 394,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,691.81 : 728,213.59 = 285,980.32 : x
  2. Step 2: Convert to fraction form
    527,691.81/728,213.59 = 285,980.32/x
  3. Step 3: Cross multiply
    527,691.81x = 728,213.59 × 285,980.32
  4. Step 4: Simplify right side
    527,691.81x = 208,254,756,764.29
  5. Step 5: Solve for x
    x = 208,254,756,764.29/527,691.81
  6. Step 6: Final answer
    x = 394,652.24

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Double scale
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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.