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Finding the Fourth Proportional to 489,221.80, 733,832.70 and 156,831.40

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Solution

The fourth proportional to 489,221.80, 733,832.70 and 156,831.40 is: 235,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,221.80 : 733,832.70 = 156,831.40 : x
  2. Step 2: Convert to fraction form
    489,221.80/733,832.70 = 156,831.40/x
  3. Step 3: Cross multiply
    489,221.80x = 733,832.70 × 156,831.40
  4. Step 4: Simplify right side
    489,221.80x = 115,088,009,706.78
  5. Step 5: Solve for x
    x = 115,088,009,706.78/489,221.80
  6. Step 6: Final answer
    x = 235,247.10

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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.