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Finding the Fourth Proportional to 346,400, 518,098.96 and 203,905.72

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Solution

The fourth proportional to 346,400, 518,098.96 and 203,905.72 is: 304,975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,400 : 518,098.96 = 203,905.72 : x
  2. Step 2: Convert to fraction form
    346,400/518,098.96 = 203,905.72/x
  3. Step 3: Cross multiply
    346,400x = 518,098.96 × 203,905.72
  4. Step 4: Simplify right side
    346,400x = 105,643,341,470.05
  5. Step 5: Solve for x
    x = 105,643,341,470.05/346,400
  6. Step 6: Final answer
    x = 304,975.00

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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.