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Finding the Fourth Proportional to 279,186.41, 419,021.40 and 146,159.71

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Solution

The fourth proportional to 279,186.41, 419,021.40 and 146,159.71 is: 219,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,186.41 : 419,021.40 = 146,159.71 : x
  2. Step 2: Convert to fraction form
    279,186.41/419,021.40 = 146,159.71/x
  3. Step 3: Cross multiply
    279,186.41x = 419,021.40 × 146,159.71
  4. Step 4: Simplify right side
    279,186.41x = 61,244,046,307.79
  5. Step 5: Solve for x
    x = 61,244,046,307.79/279,186.41
  6. Step 6: Final answer
    x = 219,366.14

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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.