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Finding the Fourth Proportional to 315,914.32, 473,604.92 and 147,345.84

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Solution

The fourth proportional to 315,914.32, 473,604.92 and 147,345.84 is: 220,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,914.32 : 473,604.92 = 147,345.84 : x
  2. Step 2: Convert to fraction form
    315,914.32/473,604.92 = 147,345.84/x
  3. Step 3: Cross multiply
    315,914.32x = 473,604.92 × 147,345.84
  4. Step 4: Simplify right side
    315,914.32x = 69,783,714,765.53
  5. Step 5: Solve for x
    x = 69,783,714,765.53/315,914.32
  6. Step 6: Final answer
    x = 220,894.43

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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.