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Finding the Fourth Proportional to 646,412.43, 969,294.24 and 376,627.77

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Solution

The fourth proportional to 646,412.43, 969,294.24 and 376,627.77 is: 564,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,412.43 : 969,294.24 = 376,627.77 : x
  2. Step 2: Convert to fraction form
    646,412.43/969,294.24 = 376,627.77/x
  3. Step 3: Cross multiply
    646,412.43x = 969,294.24 × 376,627.77
  4. Step 4: Simplify right side
    646,412.43x = 365,063,128,085.05
  5. Step 5: Solve for x
    x = 365,063,128,085.05/646,412.43
  6. Step 6: Final answer
    x = 564,752.64

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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.