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Finding the Fourth Proportional to 498,778.80, 687,603.24 and 307,664.16

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Solution

The fourth proportional to 498,778.80, 687,603.24 and 307,664.16 is: 424,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,778.80 : 687,603.24 = 307,664.16 : x
  2. Step 2: Convert to fraction form
    498,778.80/687,603.24 = 307,664.16/x
  3. Step 3: Cross multiply
    498,778.80x = 687,603.24 × 307,664.16
  4. Step 4: Simplify right side
    498,778.80x = 211,550,873,247.88
  5. Step 5: Solve for x
    x = 211,550,873,247.88/498,778.80
  6. Step 6: Final answer
    x = 424,137.66

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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.