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Finding the Fourth Proportional to 375,254.12, 517,841.70 and 205,495.40

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Solution

The fourth proportional to 375,254.12, 517,841.70 and 205,495.40 is: 283,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,254.12 : 517,841.70 = 205,495.40 : x
  2. Step 2: Convert to fraction form
    375,254.12/517,841.70 = 205,495.40/x
  3. Step 3: Cross multiply
    375,254.12x = 517,841.70 × 205,495.40
  4. Step 4: Simplify right side
    375,254.12x = 106,414,087,278.18
  5. Step 5: Solve for x
    x = 106,414,087,278.18/375,254.12
  6. Step 6: Final answer
    x = 283,578.73

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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.