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Finding the Fourth Proportional to 479,768, 662,138.16 and 278,564

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Solution

The fourth proportional to 479,768, 662,138.16 and 278,564 is: 384,452.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,768 : 662,138.16 = 278,564 : x
  2. Step 2: Convert to fraction form
    479,768/662,138.16 = 278,564/x
  3. Step 3: Cross multiply
    479,768x = 662,138.16 × 278,564
  4. Step 4: Simplify right side
    479,768x = 184,447,854,402.24
  5. Step 5: Solve for x
    x = 184,447,854,402.24/479,768
  6. Step 6: Final answer
    x = 384,452.18

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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.