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Finding the Fourth Proportional to 288,764.48, 432,473.88 and 280,792.64

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Solution

The fourth proportional to 288,764.48, 432,473.88 and 280,792.64 is: 420,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,764.48 : 432,473.88 = 280,792.64 : x
  2. Step 2: Convert to fraction form
    288,764.48/432,473.88 = 280,792.64/x
  3. Step 3: Cross multiply
    288,764.48x = 432,473.88 × 280,792.64
  4. Step 4: Simplify right side
    288,764.48x = 121,435,482,496.24
  5. Step 5: Solve for x
    x = 121,435,482,496.24/288,764.48
  6. Step 6: Final answer
    x = 420,534.69

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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.