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Finding the Fourth Proportional to 498,486.66, 687,970.76 and 280,702.36

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Solution

The fourth proportional to 498,486.66, 687,970.76 and 280,702.36 is: 387,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,486.66 : 687,970.76 = 280,702.36 : x
  2. Step 2: Convert to fraction form
    498,486.66/687,970.76 = 280,702.36/x
  3. Step 3: Cross multiply
    498,486.66x = 687,970.76 × 280,702.36
  4. Step 4: Simplify right side
    498,486.66x = 193,115,015,942.99
  5. Step 5: Solve for x
    x = 193,115,015,942.99/498,486.66
  6. Step 6: Final answer
    x = 387,402.58

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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.