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Finding the Fourth Proportional to 285,944.90, 428,917.35 and 72,712.40

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Solution

The fourth proportional to 285,944.90, 428,917.35 and 72,712.40 is: 109,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,944.90 : 428,917.35 = 72,712.40 : x
  2. Step 2: Convert to fraction form
    285,944.90/428,917.35 = 72,712.40/x
  3. Step 3: Cross multiply
    285,944.90x = 428,917.35 × 72,712.40
  4. Step 4: Simplify right side
    285,944.90x = 31,187,609,920.14
  5. Step 5: Solve for x
    x = 31,187,609,920.14/285,944.90
  6. Step 6: Final answer
    x = 109,068.60

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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.