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Finding the Fourth Proportional to 290,102.76, 400,370.58 and 194,807.88

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Solution

The fourth proportional to 290,102.76, 400,370.58 and 194,807.88 is: 268,854.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,102.76 : 400,370.58 = 194,807.88 : x
  2. Step 2: Convert to fraction form
    290,102.76/400,370.58 = 194,807.88/x
  3. Step 3: Cross multiply
    290,102.76x = 400,370.58 × 194,807.88
  4. Step 4: Simplify right side
    290,102.76x = 77,995,343,904.17
  5. Step 5: Solve for x
    x = 77,995,343,904.17/290,102.76
  6. Step 6: Final answer
    x = 268,854.19

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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.