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Finding the Fourth Proportional to 287,846.10, 432,287.55 and 278,514.90

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Solution

The fourth proportional to 287,846.10, 432,287.55 and 278,514.90 is: 418,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,846.10 : 432,287.55 = 278,514.90 : x
  2. Step 2: Convert to fraction form
    287,846.10/432,287.55 = 278,514.90/x
  3. Step 3: Cross multiply
    287,846.10x = 432,287.55 × 278,514.90
  4. Step 4: Simplify right side
    287,846.10x = 120,398,523,759.50
  5. Step 5: Solve for x
    x = 120,398,523,759.50/287,846.10
  6. Step 6: Final answer
    x = 418,273.94

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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.