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Finding the Fourth Proportional to 311,570.80, 467,663.40 and 153,977.20

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Solution

The fourth proportional to 311,570.80, 467,663.40 and 153,977.20 is: 231,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,570.80 : 467,663.40 = 153,977.20 : x
  2. Step 2: Convert to fraction form
    311,570.80/467,663.40 = 153,977.20/x
  3. Step 3: Cross multiply
    311,570.80x = 467,663.40 × 153,977.20
  4. Step 4: Simplify right side
    311,570.80x = 72,009,500,874.48
  5. Step 5: Solve for x
    x = 72,009,500,874.48/311,570.80
  6. Step 6: Final answer
    x = 231,117.62

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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.