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Finding the Fourth Proportional to 649,688.80, 974,533.20 and 275,663.20

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Solution

The fourth proportional to 649,688.80, 974,533.20 and 275,663.20 is: 413,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,688.80 : 974,533.20 = 275,663.20 : x
  2. Step 2: Convert to fraction form
    649,688.80/974,533.20 = 275,663.20/x
  3. Step 3: Cross multiply
    649,688.80x = 974,533.20 × 275,663.20
  4. Step 4: Simplify right side
    649,688.80x = 268,642,940,418.24
  5. Step 5: Solve for x
    x = 268,642,940,418.24/649,688.80
  6. Step 6: Final answer
    x = 413,494.80

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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.