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Finding the Fourth Proportional to 578,472.76, 867,621.66 and 157,781.80

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Solution

The fourth proportional to 578,472.76, 867,621.66 and 157,781.80 is: 236,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,472.76 : 867,621.66 = 157,781.80 : x
  2. Step 2: Convert to fraction form
    578,472.76/867,621.66 = 157,781.80/x
  3. Step 3: Cross multiply
    578,472.76x = 867,621.66 × 157,781.80
  4. Step 4: Simplify right side
    578,472.76x = 136,894,907,233.79
  5. Step 5: Solve for x
    x = 136,894,907,233.79/578,472.76
  6. Step 6: Final answer
    x = 236,648.84

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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.