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Finding the Fourth Proportional to 282,345, 423,517.50 and 85,353

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Solution

The fourth proportional to 282,345, 423,517.50 and 85,353 is: 128,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,345 : 423,517.50 = 85,353 : x
  2. Step 2: Convert to fraction form
    282,345/423,517.50 = 85,353/x
  3. Step 3: Cross multiply
    282,345x = 423,517.50 × 85,353
  4. Step 4: Simplify right side
    282,345x = 36,148,489,177.50
  5. Step 5: Solve for x
    x = 36,148,489,177.50/282,345
  6. Step 6: Final answer
    x = 128,029.50

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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.