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Finding the Fourth Proportional to 286,052.31, 428,911.61 and 86,312.79

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Solution

The fourth proportional to 286,052.31, 428,911.61 and 86,312.79 is: 129,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,052.31 : 428,911.61 = 86,312.79 : x
  2. Step 2: Convert to fraction form
    286,052.31/428,911.61 = 86,312.79/x
  3. Step 3: Cross multiply
    286,052.31x = 428,911.61 × 86,312.79
  4. Step 4: Simplify right side
    286,052.31x = 37,020,557,290.93
  5. Step 5: Solve for x
    x = 37,020,557,290.93/286,052.31
  6. Step 6: Final answer
    x = 129,418.84

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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.