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Finding the Fourth Proportional to 345,306, 518,193.90 and 123,690

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Solution

The fourth proportional to 345,306, 518,193.90 and 123,690 is: 185,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,306 : 518,193.90 = 123,690 : x
  2. Step 2: Convert to fraction form
    345,306/518,193.90 = 123,690/x
  3. Step 3: Cross multiply
    345,306x = 518,193.90 × 123,690
  4. Step 4: Simplify right side
    345,306x = 64,095,403,491
  5. Step 5: Solve for x
    x = 64,095,403,491/345,306
  6. Step 6: Final answer
    x = 185,619.14

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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.