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Finding the Fourth Proportional to 288,542.40, 432,813.60 and 274,764.30

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Solution

The fourth proportional to 288,542.40, 432,813.60 and 274,764.30 is: 412,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,542.40 : 432,813.60 = 274,764.30 : x
  2. Step 2: Convert to fraction form
    288,542.40/432,813.60 = 274,764.30/x
  3. Step 3: Cross multiply
    288,542.40x = 432,813.60 × 274,764.30
  4. Step 4: Simplify right side
    288,542.40x = 118,921,725,834.48
  5. Step 5: Solve for x
    x = 118,921,725,834.48/288,542.40
  6. Step 6: Final answer
    x = 412,146.45

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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.