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Finding the Fourth Proportional to 407,957.68, 611,417.28 and 230,563.60

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Solution

The fourth proportional to 407,957.68, 611,417.28 and 230,563.60 is: 345,551.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,957.68 : 611,417.28 = 230,563.60 : x
  2. Step 2: Convert to fraction form
    407,957.68/611,417.28 = 230,563.60/x
  3. Step 3: Cross multiply
    407,957.68x = 611,417.28 × 230,563.60
  4. Step 4: Simplify right side
    407,957.68x = 140,970,569,179.01
  5. Step 5: Solve for x
    x = 140,970,569,179.01/407,957.68
  6. Step 6: Final answer
    x = 345,551.94

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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.