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Finding the Fourth Proportional to 279,341.40, 418,678.74 and 194,642.76

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Solution

The fourth proportional to 279,341.40, 418,678.74 and 194,642.76 is: 291,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,341.40 : 418,678.74 = 194,642.76 : x
  2. Step 2: Convert to fraction form
    279,341.40/418,678.74 = 194,642.76/x
  3. Step 3: Cross multiply
    279,341.40x = 418,678.74 × 194,642.76
  4. Step 4: Simplify right side
    279,341.40x = 81,492,785,506.92
  5. Step 5: Solve for x
    x = 81,492,785,506.92/279,341.40
  6. Step 6: Final answer
    x = 291,731.86

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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.