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Finding the Fourth Proportional to 259,211.85, 357,590.12 and 151,715.31

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Solution

The fourth proportional to 259,211.85, 357,590.12 and 151,715.31 is: 209,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,211.85 : 357,590.12 = 151,715.31 : x
  2. Step 2: Convert to fraction form
    259,211.85/357,590.12 = 151,715.31/x
  3. Step 3: Cross multiply
    259,211.85x = 357,590.12 × 151,715.31
  4. Step 4: Simplify right side
    259,211.85x = 54,251,895,150.16
  5. Step 5: Solve for x
    x = 54,251,895,150.16/259,211.85
  6. Step 6: Final answer
    x = 209,295.58

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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.