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Finding the Fourth Proportional to 608,478.75, 912,524.00 and 209,023.20

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Solution

The fourth proportional to 608,478.75, 912,524.00 and 209,023.20 is: 313,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,478.75 : 912,524.00 = 209,023.20 : x
  2. Step 2: Convert to fraction form
    608,478.75/912,524.00 = 209,023.20/x
  3. Step 3: Cross multiply
    608,478.75x = 912,524.00 × 209,023.20
  4. Step 4: Simplify right side
    608,478.75x = 190,738,685,511.68
  5. Step 5: Solve for x
    x = 190,738,685,511.68/608,478.75
  6. Step 6: Final answer
    x = 313,468.11

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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.