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Finding the Fourth Proportional to 472,913.86, 709,239.48 and 131,278.80

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Solution

The fourth proportional to 472,913.86, 709,239.48 and 131,278.80 is: 196,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,913.86 : 709,239.48 = 131,278.80 : x
  2. Step 2: Convert to fraction form
    472,913.86/709,239.48 = 131,278.80/x
  3. Step 3: Cross multiply
    472,913.86x = 709,239.48 × 131,278.80
  4. Step 4: Simplify right side
    472,913.86x = 93,108,107,847.02
  5. Step 5: Solve for x
    x = 93,108,107,847.02/472,913.86
  6. Step 6: Final answer
    x = 196,881.75

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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.