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Finding the Fourth Proportional to 610,537.92, 915,946.44 and 211,178.34

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Solution

The fourth proportional to 610,537.92, 915,946.44 and 211,178.34 is: 316,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,537.92 : 915,946.44 = 211,178.34 : x
  2. Step 2: Convert to fraction form
    610,537.92/915,946.44 = 211,178.34/x
  3. Step 3: Cross multiply
    610,537.92x = 915,946.44 × 211,178.34
  4. Step 4: Simplify right side
    610,537.92x = 193,428,048,728.11
  5. Step 5: Solve for x
    x = 193,428,048,728.11/610,537.92
  6. Step 6: Final answer
    x = 316,815.78

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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.