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Finding the Fourth Proportional to 284,255.68, 392,291.76 and 188,597.92

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Solution

The fourth proportional to 284,255.68, 392,291.76 and 188,597.92 is: 260,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,255.68 : 392,291.76 = 188,597.92 : x
  2. Step 2: Convert to fraction form
    284,255.68/392,291.76 = 188,597.92/x
  3. Step 3: Cross multiply
    284,255.68x = 392,291.76 × 188,597.92
  4. Step 4: Simplify right side
    284,255.68x = 73,985,409,969.14
  5. Step 5: Solve for x
    x = 73,985,409,969.14/284,255.68
  6. Step 6: Final answer
    x = 260,277.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.