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Finding the Fourth Proportional to 260,797.32, 391,038.84 and 142,304.04

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Solution

The fourth proportional to 260,797.32, 391,038.84 and 142,304.04 is: 213,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,797.32 : 391,038.84 = 142,304.04 : x
  2. Step 2: Convert to fraction form
    260,797.32/391,038.84 = 142,304.04/x
  3. Step 3: Cross multiply
    260,797.32x = 391,038.84 × 142,304.04
  4. Step 4: Simplify right side
    260,797.32x = 55,646,406,728.91
  5. Step 5: Solve for x
    x = 55,646,406,728.91/260,797.32
  6. Step 6: Final answer
    x = 213,370.32

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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.