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Finding the Fourth Proportional to 280,356.96, 386,889.21 and 159,497.98

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Solution

The fourth proportional to 280,356.96, 386,889.21 and 159,497.98 is: 220,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,356.96 : 386,889.21 = 159,497.98 : x
  2. Step 2: Convert to fraction form
    280,356.96/386,889.21 = 159,497.98/x
  3. Step 3: Cross multiply
    280,356.96x = 386,889.21 × 159,497.98
  4. Step 4: Simplify right side
    280,356.96x = 61,708,047,478.80
  5. Step 5: Solve for x
    x = 61,708,047,478.80/280,356.96
  6. Step 6: Final answer
    x = 220,105.28

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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.