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Finding the Fourth Proportional to 345,264.60, 517,022.10 and 275,280.60

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Solution

The fourth proportional to 345,264.60, 517,022.10 and 275,280.60 is: 412,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,264.60 : 517,022.10 = 275,280.60 : x
  2. Step 2: Convert to fraction form
    345,264.60/517,022.10 = 275,280.60/x
  3. Step 3: Cross multiply
    345,264.60x = 517,022.10 × 275,280.60
  4. Step 4: Simplify right side
    345,264.60x = 142,326,153,901.26
  5. Step 5: Solve for x
    x = 142,326,153,901.26/345,264.60
  6. Step 6: Final answer
    x = 412,223.42

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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.