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Finding the Fourth Proportional to 313,976.96, 470,981.80 and 103,631.30

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Solution

The fourth proportional to 313,976.96, 470,981.80 and 103,631.30 is: 155,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,976.96 : 470,981.80 = 103,631.30 : x
  2. Step 2: Convert to fraction form
    313,976.96/470,981.80 = 103,631.30/x
  3. Step 3: Cross multiply
    313,976.96x = 470,981.80 × 103,631.30
  4. Step 4: Simplify right side
    313,976.96x = 48,808,456,210.34
  5. Step 5: Solve for x
    x = 48,808,456,210.34/313,976.96
  6. Step 6: Final answer
    x = 155,452.35

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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.