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Finding the Fourth Proportional to 240,705, 361,065.87 and 114,280.20

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Solution

The fourth proportional to 240,705, 361,065.87 and 114,280.20 is: 171,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,705 : 361,065.87 = 114,280.20 : x
  2. Step 2: Convert to fraction form
    240,705/361,065.87 = 114,280.20/x
  3. Step 3: Cross multiply
    240,705x = 361,065.87 × 114,280.20
  4. Step 4: Simplify right side
    240,705x = 41,262,679,836.77
  5. Step 5: Solve for x
    x = 41,262,679,836.77/240,705
  6. Step 6: Final answer
    x = 171,424.27

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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.