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Finding the Fourth Proportional to 496,778, 685,553.72 and 270,425.20

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Solution

The fourth proportional to 496,778, 685,553.72 and 270,425.20 is: 373,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,778 : 685,553.72 = 270,425.20 : x
  2. Step 2: Convert to fraction form
    496,778/685,553.72 = 270,425.20/x
  3. Step 3: Cross multiply
    496,778x = 685,553.72 × 270,425.20
  4. Step 4: Simplify right side
    496,778x = 185,391,001,841.74
  5. Step 5: Solve for x
    x = 185,391,001,841.74/496,778
  6. Step 6: Final answer
    x = 373,186.82

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1.5x scale

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.