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Finding the Fourth Proportional to 381,152.96, 525,981.84 and 209,073.20

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Solution

The fourth proportional to 381,152.96, 525,981.84 and 209,073.20 is: 288,515.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,152.96 : 525,981.84 = 209,073.20 : x
  2. Step 2: Convert to fraction form
    381,152.96/525,981.84 = 209,073.20/x
  3. Step 3: Cross multiply
    381,152.96x = 525,981.84 × 209,073.20
  4. Step 4: Simplify right side
    381,152.96x = 109,968,706,430.69
  5. Step 5: Solve for x
    x = 109,968,706,430.69/381,152.96
  6. Step 6: Final answer
    x = 288,515.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.