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Finding the Fourth Proportional to 288,733.76, 398,264.87 and 185,204.12

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Solution

The fourth proportional to 288,733.76, 398,264.87 and 185,204.12 is: 255,461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,733.76 : 398,264.87 = 185,204.12 : x
  2. Step 2: Convert to fraction form
    288,733.76/398,264.87 = 185,204.12/x
  3. Step 3: Cross multiply
    288,733.76x = 398,264.87 × 185,204.12
  4. Step 4: Simplify right side
    288,733.76x = 73,760,291,857.92
  5. Step 5: Solve for x
    x = 73,760,291,857.92/288,733.76
  6. Step 6: Final answer
    x = 255,461.27

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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.