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Finding the Fourth Proportional to 260,658, 359,708.04 and 141,426

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Solution

The fourth proportional to 260,658, 359,708.04 and 141,426 is: 195,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,658 : 359,708.04 = 141,426 : x
  2. Step 2: Convert to fraction form
    260,658/359,708.04 = 141,426/x
  3. Step 3: Cross multiply
    260,658x = 359,708.04 × 141,426
  4. Step 4: Simplify right side
    260,658x = 50,872,069,265.04
  5. Step 5: Solve for x
    x = 50,872,069,265.04/260,658
  6. Step 6: Final answer
    x = 195,167.88

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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.