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Finding the Fourth Proportional to 261,123.58, 360,414.65 and 159,205.24

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Solution

The fourth proportional to 261,123.58, 360,414.65 and 159,205.24 is: 219,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,123.58 : 360,414.65 = 159,205.24 : x
  2. Step 2: Convert to fraction form
    261,123.58/360,414.65 = 159,205.24/x
  3. Step 3: Cross multiply
    261,123.58x = 360,414.65 × 159,205.24
  4. Step 4: Simplify right side
    261,123.58x = 57,379,900,056.74
  5. Step 5: Solve for x
    x = 57,379,900,056.74/261,123.58
  6. Step 6: Final answer
    x = 219,742.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.