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Finding the Fourth Proportional to 288,522.80, 432,784.20 and 274,744.70

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Solution

The fourth proportional to 288,522.80, 432,784.20 and 274,744.70 is: 412,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,522.80 : 432,784.20 = 274,744.70 : x
  2. Step 2: Convert to fraction form
    288,522.80/432,784.20 = 274,744.70/x
  3. Step 3: Cross multiply
    288,522.80x = 432,784.20 × 274,744.70
  4. Step 4: Simplify right side
    288,522.80x = 118,905,165,193.74
  5. Step 5: Solve for x
    x = 118,905,165,193.74/288,522.80
  6. Step 6: Final answer
    x = 412,117.05

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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.