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Finding the Fourth Proportional to 498,841.02, 687,908.79 and 307,813.86

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Solution

The fourth proportional to 498,841.02, 687,908.79 and 307,813.86 is: 424,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,841.02 : 687,908.79 = 307,813.86 : x
  2. Step 2: Convert to fraction form
    498,841.02/687,908.79 = 307,813.86/x
  3. Step 3: Cross multiply
    498,841.02x = 687,908.79 × 307,813.86
  4. Step 4: Simplify right side
    498,841.02x = 211,747,859,977.83
  5. Step 5: Solve for x
    x = 211,747,859,977.83/498,841.02
  6. Step 6: Final answer
    x = 424,479.65

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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.