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Finding the Fourth Proportional to 341,755.93, 512,343.10 and 208,729.50

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Solution

The fourth proportional to 341,755.93, 512,343.10 and 208,729.50 is: 312,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,755.93 : 512,343.10 = 208,729.50 : x
  2. Step 2: Convert to fraction form
    341,755.93/512,343.10 = 208,729.50/x
  3. Step 3: Cross multiply
    341,755.93x = 512,343.10 × 208,729.50
  4. Step 4: Simplify right side
    341,755.93x = 106,941,119,091.45
  5. Step 5: Solve for x
    x = 106,941,119,091.45/341,755.93
  6. Step 6: Final answer
    x = 312,916.65

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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.