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Finding the Fourth Proportional to 432,867.80, 649,301.70 and 353,151.65

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Solution

The fourth proportional to 432,867.80, 649,301.70 and 353,151.65 is: 529,727.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,867.80 : 649,301.70 = 353,151.65 : x
  2. Step 2: Convert to fraction form
    432,867.80/649,301.70 = 353,151.65/x
  3. Step 3: Cross multiply
    432,867.80x = 649,301.70 × 353,151.65
  4. Step 4: Simplify right side
    432,867.80x = 229,301,966,702.81
  5. Step 5: Solve for x
    x = 229,301,966,702.81/432,867.80
  6. Step 6: Final answer
    x = 529,727.48

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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.