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Finding the Fourth Proportional to 408,488.86, 613,307.38 and 208,952.45

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Solution

The fourth proportional to 408,488.86, 613,307.38 and 208,952.45 is: 313,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,488.86 : 613,307.38 = 208,952.45 : x
  2. Step 2: Convert to fraction form
    408,488.86/613,307.38 = 208,952.45/x
  3. Step 3: Cross multiply
    408,488.86x = 613,307.38 × 208,952.45
  4. Step 4: Simplify right side
    408,488.86x = 128,152,079,654.08
  5. Step 5: Solve for x
    x = 128,152,079,654.08/408,488.86
  6. Step 6: Final answer
    x = 313,722.34

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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.