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Finding the Fourth Proportional to 290,917.98, 401,458.74 and 176,264.52

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Solution

The fourth proportional to 290,917.98, 401,458.74 and 176,264.52 is: 243,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,917.98 : 401,458.74 = 176,264.52 : x
  2. Step 2: Convert to fraction form
    290,917.98/401,458.74 = 176,264.52/x
  3. Step 3: Cross multiply
    290,917.98x = 401,458.74 × 176,264.52
  4. Step 4: Simplify right side
    290,917.98x = 70,762,932,105.90
  5. Step 5: Solve for x
    x = 70,762,932,105.90/290,917.98
  6. Step 6: Final answer
    x = 243,240.15

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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.