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Finding the Fourth Proportional to 260,402.10, 389,966.14 and 235,158.65

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Solution

The fourth proportional to 260,402.10, 389,966.14 and 235,158.65 is: 352,162.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,402.10 : 389,966.14 = 235,158.65 : x
  2. Step 2: Convert to fraction form
    260,402.10/389,966.14 = 235,158.65/x
  3. Step 3: Cross multiply
    260,402.10x = 389,966.14 × 235,158.65
  4. Step 4: Simplify right side
    260,402.10x = 91,703,911,028.11
  5. Step 5: Solve for x
    x = 91,703,911,028.11/260,402.10
  6. Step 6: Final answer
    x = 352,162.72

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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.