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Finding the Fourth Proportional to 229,243.20, 343,864.80 and 71,470.40

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Solution

The fourth proportional to 229,243.20, 343,864.80 and 71,470.40 is: 107,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,243.20 : 343,864.80 = 71,470.40 : x
  2. Step 2: Convert to fraction form
    229,243.20/343,864.80 = 71,470.40/x
  3. Step 3: Cross multiply
    229,243.20x = 343,864.80 × 71,470.40
  4. Step 4: Simplify right side
    229,243.20x = 24,576,154,801.92
  5. Step 5: Solve for x
    x = 24,576,154,801.92/229,243.20
  6. Step 6: Final answer
    x = 107,205.60

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1.5x scale

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.