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Finding the Fourth Proportional to 315,284.74, 472,922.12 and 146,710.78

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Solution

The fourth proportional to 315,284.74, 472,922.12 and 146,710.78 is: 220,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,284.74 : 472,922.12 = 146,710.78 : x
  2. Step 2: Convert to fraction form
    315,284.74/472,922.12 = 146,710.78/x
  3. Step 3: Cross multiply
    315,284.74x = 472,922.12 × 146,710.78
  4. Step 4: Simplify right side
    315,284.74x = 69,382,773,104.45
  5. Step 5: Solve for x
    x = 69,382,773,104.45/315,284.74
  6. Step 6: Final answer
    x = 220,063.85

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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.