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Finding the Fourth Proportional to 315,905.32, 473,591.43 and 147,336.82

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Solution

The fourth proportional to 315,905.32, 473,591.43 and 147,336.82 is: 220,880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,905.32 : 473,591.43 = 147,336.82 : x
  2. Step 2: Convert to fraction form
    315,905.32/473,591.43 = 147,336.82/x
  3. Step 3: Cross multiply
    315,905.32x = 473,591.43 × 147,336.82
  4. Step 4: Simplify right side
    315,905.32x = 69,777,457,169.81
  5. Step 5: Solve for x
    x = 69,777,457,169.81/315,905.32
  6. Step 6: Final answer
    x = 220,880.92

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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.