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Finding the Fourth Proportional to 280,337.76, 420,256.56 and 102,803.28

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Solution

The fourth proportional to 280,337.76, 420,256.56 and 102,803.28 is: 154,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,337.76 : 420,256.56 = 102,803.28 : x
  2. Step 2: Convert to fraction form
    280,337.76/420,256.56 = 102,803.28/x
  3. Step 3: Cross multiply
    280,337.76x = 420,256.56 × 102,803.28
  4. Step 4: Simplify right side
    280,337.76x = 43,203,752,809.52
  5. Step 5: Solve for x
    x = 43,203,752,809.52/280,337.76
  6. Step 6: Final answer
    x = 154,113.21

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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.