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Finding the Fourth Proportional to 432,856.80, 649,285.20 and 353,140.65

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Solution

The fourth proportional to 432,856.80, 649,285.20 and 353,140.65 is: 529,710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,856.80 : 649,285.20 = 353,140.65 : x
  2. Step 2: Convert to fraction form
    432,856.80/649,285.20 = 353,140.65/x
  3. Step 3: Cross multiply
    432,856.80x = 649,285.20 × 353,140.65
  4. Step 4: Simplify right side
    432,856.80x = 229,288,997,563.38
  5. Step 5: Solve for x
    x = 229,288,997,563.38/432,856.80
  6. Step 6: Final answer
    x = 529,710.98

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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.