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Finding the Fourth Proportional to 371,142.78, 556,218.45 and 193,276.86

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Solution

The fourth proportional to 371,142.78, 556,218.45 and 193,276.86 is: 289,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,142.78 : 556,218.45 = 193,276.86 : x
  2. Step 2: Convert to fraction form
    371,142.78/556,218.45 = 193,276.86/x
  3. Step 3: Cross multiply
    371,142.78x = 556,218.45 × 193,276.86
  4. Step 4: Simplify right side
    371,142.78x = 107,504,155,490.07
  5. Step 5: Solve for x
    x = 107,504,155,490.07/371,142.78
  6. Step 6: Final answer
    x = 289,657.14

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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.