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Finding the Fourth Proportional to 454,358, 681,624.48 and 205,040

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Solution

The fourth proportional to 454,358, 681,624.48 and 205,040 is: 307,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,358 : 681,624.48 = 205,040 : x
  2. Step 2: Convert to fraction form
    454,358/681,624.48 = 205,040/x
  3. Step 3: Cross multiply
    454,358x = 681,624.48 × 205,040
  4. Step 4: Simplify right side
    454,358x = 139,760,283,379.20
  5. Step 5: Solve for x
    x = 139,760,283,379.20/454,358
  6. Step 6: Final answer
    x = 307,599.48

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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.