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Finding the Fourth Proportional to 340,246, 510,202.68 and 205,449.04

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Solution

The fourth proportional to 340,246, 510,202.68 and 205,449.04 is: 308,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,246 : 510,202.68 = 205,449.04 : x
  2. Step 2: Convert to fraction form
    340,246/510,202.68 = 205,449.04/x
  3. Step 3: Cross multiply
    340,246x = 510,202.68 × 205,449.04
  4. Step 4: Simplify right side
    340,246x = 104,820,650,811.43
  5. Step 5: Solve for x
    x = 104,820,650,811.43/340,246
  6. Step 6: Final answer
    x = 308,073.13

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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.