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Finding the Fourth Proportional to 509,878.06, 703,648.77 and 280,445.02

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Solution

The fourth proportional to 509,878.06, 703,648.77 and 280,445.02 is: 387,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,878.06 : 703,648.77 = 280,445.02 : x
  2. Step 2: Convert to fraction form
    509,878.06/703,648.77 = 280,445.02/x
  3. Step 3: Cross multiply
    509,878.06x = 703,648.77 × 280,445.02
  4. Step 4: Simplify right side
    509,878.06x = 197,334,793,375.63
  5. Step 5: Solve for x
    x = 197,334,793,375.63/509,878.06
  6. Step 6: Final answer
    x = 387,023.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.