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Finding the Fourth Proportional to 472,923.86, 709,378.32 and 220,062.92

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Solution

The fourth proportional to 472,923.86, 709,378.32 and 220,062.92 is: 330,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,923.86 : 709,378.32 = 220,062.92 : x
  2. Step 2: Convert to fraction form
    472,923.86/709,378.32 = 220,062.92/x
  3. Step 3: Cross multiply
    472,923.86x = 709,378.32 × 220,062.92
  4. Step 4: Simplify right side
    472,923.86x = 156,107,864,483.89
  5. Step 5: Solve for x
    x = 156,107,864,483.89/472,923.86
  6. Step 6: Final answer
    x = 330,090.90

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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.