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Finding the Fourth Proportional to 289,552.64, 399,777.96 and 180,823.12

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Solution

The fourth proportional to 289,552.64, 399,777.96 and 180,823.12 is: 249,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,552.64 : 399,777.96 = 180,823.12 : x
  2. Step 2: Convert to fraction form
    289,552.64/399,777.96 = 180,823.12/x
  3. Step 3: Cross multiply
    289,552.64x = 399,777.96 × 180,823.12
  4. Step 4: Simplify right side
    289,552.64x = 72,289,098,034.44
  5. Step 5: Solve for x
    x = 72,289,098,034.44/289,552.64
  6. Step 6: Final answer
    x = 249,657.88

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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.