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Finding the Fourth Proportional to 437,340.80, 656,270.40 and 288,009.20

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Solution

The fourth proportional to 437,340.80, 656,270.40 and 288,009.20 is: 432,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,340.80 : 656,270.40 = 288,009.20 : x
  2. Step 2: Convert to fraction form
    437,340.80/656,270.40 = 288,009.20/x
  3. Step 3: Cross multiply
    437,340.80x = 656,270.40 × 288,009.20
  4. Step 4: Simplify right side
    437,340.80x = 189,011,912,887.68
  5. Step 5: Solve for x
    x = 189,011,912,887.68/437,340.80
  6. Step 6: Final answer
    x = 432,184.50

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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.