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Finding the Fourth Proportional to 345,843.47, 518,941.61 and 233,287.80

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Solution

The fourth proportional to 345,843.47, 518,941.61 and 233,287.80 is: 350,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,843.47 : 518,941.61 = 233,287.80 : x
  2. Step 2: Convert to fraction form
    345,843.47/518,941.61 = 233,287.80/x
  3. Step 3: Cross multiply
    345,843.47x = 518,941.61 × 233,287.80
  4. Step 4: Simplify right side
    345,843.47x = 121,062,748,227.77
  5. Step 5: Solve for x
    x = 121,062,748,227.77/345,843.47
  6. Step 6: Final answer
    x = 350,050.70

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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.