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Finding the Fourth Proportional to 290,345, 435,517.50 and 93,353

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Solution

The fourth proportional to 290,345, 435,517.50 and 93,353 is: 140,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,345 : 435,517.50 = 93,353 : x
  2. Step 2: Convert to fraction form
    290,345/435,517.50 = 93,353/x
  3. Step 3: Cross multiply
    290,345x = 435,517.50 × 93,353
  4. Step 4: Simplify right side
    290,345x = 40,656,865,177.50
  5. Step 5: Solve for x
    x = 40,656,865,177.50/290,345
  6. Step 6: Final answer
    x = 140,029.50

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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.