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Finding the Fourth Proportional to 402,707.66, 603,684.23 and 136,281.65

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Solution

The fourth proportional to 402,707.66, 603,684.23 and 136,281.65 is: 204,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,707.66 : 603,684.23 = 136,281.65 : x
  2. Step 2: Convert to fraction form
    402,707.66/603,684.23 = 136,281.65/x
  3. Step 3: Cross multiply
    402,707.66x = 603,684.23 × 136,281.65
  4. Step 4: Simplify right side
    402,707.66x = 82,271,079,243.55
  5. Step 5: Solve for x
    x = 82,271,079,243.55/402,707.66
  6. Step 6: Final answer
    x = 204,294.80

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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.