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Finding the Fourth Proportional to 275,510.98, 413,335.11 and 78,518.98

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Solution

The fourth proportional to 275,510.98, 413,335.11 and 78,518.98 is: 117,798.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,510.98 : 413,335.11 = 78,518.98 : x
  2. Step 2: Convert to fraction form
    275,510.98/413,335.11 = 78,518.98/x
  3. Step 3: Cross multiply
    275,510.98x = 413,335.11 × 78,518.98
  4. Step 4: Simplify right side
    275,510.98x = 32,454,651,235.39
  5. Step 5: Solve for x
    x = 32,454,651,235.39/275,510.98
  6. Step 6: Final answer
    x = 117,798.03

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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.