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Finding the Fourth Proportional to 512,569.10, 768,853.65 and 486,908.30

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Solution

The fourth proportional to 512,569.10, 768,853.65 and 486,908.30 is: 730,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,569.10 : 768,853.65 = 486,908.30 : x
  2. Step 2: Convert to fraction form
    512,569.10/768,853.65 = 486,908.30/x
  3. Step 3: Cross multiply
    512,569.10x = 768,853.65 × 486,908.30
  4. Step 4: Simplify right side
    512,569.10x = 374,361,223,670.30
  5. Step 5: Solve for x
    x = 374,361,223,670.30/512,569.10
  6. Step 6: Final answer
    x = 730,362.45

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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.