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Finding the Fourth Proportional to 315,581.80, 473,375.10 and 105,219.40

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Solution

The fourth proportional to 315,581.80, 473,375.10 and 105,219.40 is: 157,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,581.80 : 473,375.10 = 105,219.40 : x
  2. Step 2: Convert to fraction form
    315,581.80/473,375.10 = 105,219.40/x
  3. Step 3: Cross multiply
    315,581.80x = 473,375.10 × 105,219.40
  4. Step 4: Simplify right side
    315,581.80x = 49,808,243,996.94
  5. Step 5: Solve for x
    x = 49,808,243,996.94/315,581.80
  6. Step 6: Final answer
    x = 157,829.90

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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.