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Finding the Fourth Proportional to 345,478.95, 517,047.98 and 212,443.47

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Solution

The fourth proportional to 345,478.95, 517,047.98 and 212,443.47 is: 317,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,478.95 : 517,047.98 = 212,443.47 : x
  2. Step 2: Convert to fraction form
    345,478.95/517,047.98 = 212,443.47/x
  3. Step 3: Cross multiply
    345,478.95x = 517,047.98 × 212,443.47
  4. Step 4: Simplify right side
    345,478.95x = 109,843,465,965.47
  5. Step 5: Solve for x
    x = 109,843,465,965.47/345,478.95
  6. Step 6: Final answer
    x = 317,945.47

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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.