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Finding the Fourth Proportional to 286,345.86, 395,146.45 and 159,029.65

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Solution

The fourth proportional to 286,345.86, 395,146.45 and 159,029.65 is: 219,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,345.86 : 395,146.45 = 159,029.65 : x
  2. Step 2: Convert to fraction form
    286,345.86/395,146.45 = 159,029.65/x
  3. Step 3: Cross multiply
    286,345.86x = 395,146.45 × 159,029.65
  4. Step 4: Simplify right side
    286,345.86x = 62,840,001,642.24
  5. Step 5: Solve for x
    x = 62,840,001,642.24/286,345.86
  6. Step 6: Final answer
    x = 219,454.90

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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.