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Finding the Fourth Proportional to 610,856.65, 916,065.42 and 211,388.95

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Solution

The fourth proportional to 610,856.65, 916,065.42 and 211,388.95 is: 317,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,856.65 : 916,065.42 = 211,388.95 : x
  2. Step 2: Convert to fraction form
    610,856.65/916,065.42 = 211,388.95/x
  3. Step 3: Cross multiply
    610,856.65x = 916,065.42 × 211,388.95
  4. Step 4: Simplify right side
    610,856.65x = 193,646,107,265.11
  5. Step 5: Solve for x
    x = 193,646,107,265.11/610,856.65
  6. Step 6: Final answer
    x = 317,007.45

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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.