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Finding the Fourth Proportional to 472,900.32, 709,342.95 and 220,039.38

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Solution

The fourth proportional to 472,900.32, 709,342.95 and 220,039.38 is: 330,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,900.32 : 709,342.95 = 220,039.38 : x
  2. Step 2: Convert to fraction form
    472,900.32/709,342.95 = 220,039.38/x
  3. Step 3: Cross multiply
    472,900.32x = 709,342.95 × 220,039.38
  4. Step 4: Simplify right side
    472,900.32x = 156,083,383,750.52
  5. Step 5: Solve for x
    x = 156,083,383,750.52/472,900.32
  6. Step 6: Final answer
    x = 330,055.57

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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.