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Finding the Fourth Proportional to 315,338.34, 472,994.28 and 146,800.74

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Solution

The fourth proportional to 315,338.34, 472,994.28 and 146,800.74 is: 220,194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,338.34 : 472,994.28 = 146,800.74 : x
  2. Step 2: Convert to fraction form
    315,338.34/472,994.28 = 146,800.74/x
  3. Step 3: Cross multiply
    315,338.34x = 472,994.28 × 146,800.74
  4. Step 4: Simplify right side
    315,338.34x = 69,435,910,319.77
  5. Step 5: Solve for x
    x = 69,435,910,319.77/315,338.34
  6. Step 6: Final answer
    x = 220,194.95

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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.