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Finding the Fourth Proportional to 260,179.29, 390,294.90 and 70,642.71

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Solution

The fourth proportional to 260,179.29, 390,294.90 and 70,642.71 is: 105,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,179.29 : 390,294.90 = 70,642.71 : x
  2. Step 2: Convert to fraction form
    260,179.29/390,294.90 = 70,642.71/x
  3. Step 3: Cross multiply
    260,179.29x = 390,294.90 × 70,642.71
  4. Step 4: Simplify right side
    260,179.29x = 27,571,489,435.18
  5. Step 5: Solve for x
    x = 27,571,489,435.18/260,179.29
  6. Step 6: Final answer
    x = 105,971.11

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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.