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Finding the Fourth Proportional to 285,288.80, 427,831.92 and 105,335.76

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Solution

The fourth proportional to 285,288.80, 427,831.92 and 105,335.76 is: 157,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,288.80 : 427,831.92 = 105,335.76 : x
  2. Step 2: Convert to fraction form
    285,288.80/427,831.92 = 105,335.76/x
  3. Step 3: Cross multiply
    285,288.80x = 427,831.92 × 105,335.76
  4. Step 4: Simplify right side
    285,288.80x = 45,066,000,445.46
  5. Step 5: Solve for x
    x = 45,066,000,445.46/285,288.80
  6. Step 6: Final answer
    x = 157,966.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.