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Finding the Fourth Proportional to 288,495.49, 398,102.92 and 159,432.42

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Solution

The fourth proportional to 288,495.49, 398,102.92 and 159,432.42 is: 220,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,495.49 : 398,102.92 = 159,432.42 : x
  2. Step 2: Convert to fraction form
    288,495.49/398,102.92 = 159,432.42/x
  3. Step 3: Cross multiply
    288,495.49x = 398,102.92 × 159,432.42
  4. Step 4: Simplify right side
    288,495.49x = 63,470,510,799.64
  5. Step 5: Solve for x
    x = 63,470,510,799.64/288,495.49
  6. Step 6: Final answer
    x = 220,005.21

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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.