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Finding the Fourth Proportional to 513,615.57, 769,792.32 and 288,502.80

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Solution

The fourth proportional to 513,615.57, 769,792.32 and 288,502.80 is: 432,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,615.57 : 769,792.32 = 288,502.80 : x
  2. Step 2: Convert to fraction form
    513,615.57/769,792.32 = 288,502.80/x
  3. Step 3: Cross multiply
    513,615.57x = 769,792.32 × 288,502.80
  4. Step 4: Simplify right side
    513,615.57x = 222,087,239,738.50
  5. Step 5: Solve for x
    x = 222,087,239,738.50/513,615.57
  6. Step 6: Final answer
    x = 432,399.74

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1.5x scale

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.