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Finding the Fourth Proportional to 806,967.70, 1,210,101.51 and 274,345.78

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Solution

The fourth proportional to 806,967.70, 1,210,101.51 and 274,345.78 is: 411,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,967.70 : 1,210,101.51 = 274,345.78 : x
  2. Step 2: Convert to fraction form
    806,967.70/1,210,101.51 = 274,345.78/x
  3. Step 3: Cross multiply
    806,967.70x = 1,210,101.51 × 274,345.78
  4. Step 4: Simplify right side
    806,967.70x = 331,986,242,640.13
  5. Step 5: Solve for x
    x = 331,986,242,640.13/806,967.70
  6. Step 6: Final answer
    x = 411,399.67

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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.