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Finding the Fourth Proportional to 280,445.90, 420,418.76 and 102,911.72

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Solution

The fourth proportional to 280,445.90, 420,418.76 and 102,911.72 is: 154,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,445.90 : 420,418.76 = 102,911.72 : x
  2. Step 2: Convert to fraction form
    280,445.90/420,418.76 = 102,911.72/x
  3. Step 3: Cross multiply
    280,445.90x = 420,418.76 × 102,911.72
  4. Step 4: Simplify right side
    280,445.90x = 43,266,015,095.21
  5. Step 5: Solve for x
    x = 43,266,015,095.21/280,445.90
  6. Step 6: Final answer
    x = 154,275.80

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1.5x scale

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.