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Finding the Fourth Proportional to 578,471.76, 867,620.16 and 157,780.80

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Solution

The fourth proportional to 578,471.76, 867,620.16 and 157,780.80 is: 236,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,471.76 : 867,620.16 = 157,780.80 : x
  2. Step 2: Convert to fraction form
    578,471.76/867,620.16 = 157,780.80/x
  3. Step 3: Cross multiply
    578,471.76x = 867,620.16 × 157,780.80
  4. Step 4: Simplify right side
    578,471.76x = 136,893,802,940.93
  5. Step 5: Solve for x
    x = 136,893,802,940.93/578,471.76
  6. Step 6: Final answer
    x = 236,647.34

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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.