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Finding the Fourth Proportional to 282,750.72, 390,198.80 and 153,689.78

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Solution

The fourth proportional to 282,750.72, 390,198.80 and 153,689.78 is: 212,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,750.72 : 390,198.80 = 153,689.78 : x
  2. Step 2: Convert to fraction form
    282,750.72/390,198.80 = 153,689.78/x
  3. Step 3: Cross multiply
    282,750.72x = 390,198.80 × 153,689.78
  4. Step 4: Simplify right side
    282,750.72x = 59,969,567,728.26
  5. Step 5: Solve for x
    x = 59,969,567,728.26/282,750.72
  6. Step 6: Final answer
    x = 212,093.42

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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.