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Finding the Fourth Proportional to 345,296.93, 518,429.97 and 176,938.22

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Solution

The fourth proportional to 345,296.93, 518,429.97 and 176,938.22 is: 265,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,296.93 : 518,429.97 = 176,938.22 : x
  2. Step 2: Convert to fraction form
    345,296.93/518,429.97 = 176,938.22/x
  3. Step 3: Cross multiply
    345,296.93x = 518,429.97 × 176,938.22
  4. Step 4: Simplify right side
    345,296.93x = 91,730,077,382.53
  5. Step 5: Solve for x
    x = 91,730,077,382.53/345,296.93
  6. Step 6: Final answer
    x = 265,655.65

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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.