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Finding the Fourth Proportional to 315,920.28, 473,904.90 and 105,558.96

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Solution

The fourth proportional to 315,920.28, 473,904.90 and 105,558.96 is: 158,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,920.28 : 473,904.90 = 105,558.96 : x
  2. Step 2: Convert to fraction form
    315,920.28/473,904.90 = 105,558.96/x
  3. Step 3: Cross multiply
    315,920.28x = 473,904.90 × 105,558.96
  4. Step 4: Simplify right side
    315,920.28x = 50,024,908,382.90
  5. Step 5: Solve for x
    x = 50,024,908,382.90/315,920.28
  6. Step 6: Final answer
    x = 158,346.62

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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.