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Finding the Fourth Proportional to 346,081.80, 518,085.90 and 205,768.20

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Solution

The fourth proportional to 346,081.80, 518,085.90 and 205,768.20 is: 308,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,081.80 : 518,085.90 = 205,768.20 : x
  2. Step 2: Convert to fraction form
    346,081.80/518,085.90 = 205,768.20/x
  3. Step 3: Cross multiply
    346,081.80x = 518,085.90 × 205,768.20
  4. Step 4: Simplify right side
    346,081.80x = 106,605,603,088.38
  5. Step 5: Solve for x
    x = 106,605,603,088.38/346,081.80
  6. Step 6: Final answer
    x = 308,035.85

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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.