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Finding the Fourth Proportional to 432,871.80, 649,307.70 and 354,139.80

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Solution

The fourth proportional to 432,871.80, 649,307.70 and 354,139.80 is: 531,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,871.80 : 649,307.70 = 354,139.80 : x
  2. Step 2: Convert to fraction form
    432,871.80/649,307.70 = 354,139.80/x
  3. Step 3: Cross multiply
    432,871.80x = 649,307.70 × 354,139.80
  4. Step 4: Simplify right side
    432,871.80x = 229,945,699,016.46
  5. Step 5: Solve for x
    x = 229,945,699,016.46/432,871.80
  6. Step 6: Final answer
    x = 531,209.70

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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.