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Finding the Fourth Proportional to 288,530.80, 432,796.20 and 274,752.70

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Solution

The fourth proportional to 288,530.80, 432,796.20 and 274,752.70 is: 412,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,530.80 : 432,796.20 = 274,752.70 : x
  2. Step 2: Convert to fraction form
    288,530.80/432,796.20 = 274,752.70/x
  3. Step 3: Cross multiply
    288,530.80x = 432,796.20 × 274,752.70
  4. Step 4: Simplify right side
    288,530.80x = 118,911,924,499.74
  5. Step 5: Solve for x
    x = 118,911,924,499.74/288,530.80
  6. Step 6: Final answer
    x = 412,129.05

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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.