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Finding the Fourth Proportional to 649,693.40, 974,706.20 and 270,488.10

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Solution

The fourth proportional to 649,693.40, 974,706.20 and 270,488.10 is: 405,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,693.40 : 974,706.20 = 270,488.10 : x
  2. Step 2: Convert to fraction form
    649,693.40/974,706.20 = 270,488.10/x
  3. Step 3: Cross multiply
    649,693.40x = 974,706.20 × 270,488.10
  4. Step 4: Simplify right side
    649,693.40x = 263,646,432,059.23
  5. Step 5: Solve for x
    x = 263,646,432,059.23/649,693.40
  6. Step 6: Final answer
    x = 405,801.31

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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.