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Finding the Fourth Proportional to 298,387.40, 411,809.72 and 167,586.56

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Solution

The fourth proportional to 298,387.40, 411,809.72 and 167,586.56 is: 231,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,387.40 : 411,809.72 = 167,586.56 : x
  2. Step 2: Convert to fraction form
    298,387.40/411,809.72 = 167,586.56/x
  3. Step 3: Cross multiply
    298,387.40x = 411,809.72 × 167,586.56
  4. Step 4: Simplify right side
    298,387.40x = 69,013,774,349.36
  5. Step 5: Solve for x
    x = 69,013,774,349.36/298,387.40
  6. Step 6: Final answer
    x = 231,289.17

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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.