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Finding the Fourth Proportional to 437,460.80, 656,450.40 and 288,129.20

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Solution

The fourth proportional to 437,460.80, 656,450.40 and 288,129.20 is: 432,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,460.80 : 656,450.40 = 288,129.20 : x
  2. Step 2: Convert to fraction form
    437,460.80/656,450.40 = 288,129.20/x
  3. Step 3: Cross multiply
    437,460.80x = 656,450.40 × 288,129.20
  4. Step 4: Simplify right side
    437,460.80x = 189,142,528,591.68
  5. Step 5: Solve for x
    x = 189,142,528,591.68/437,460.80
  6. Step 6: Final answer
    x = 432,364.52

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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.