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Finding the Fourth Proportional to 469,221, 703,843 and 153,665.16

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Solution

The fourth proportional to 469,221, 703,843 and 153,665.16 is: 230,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,221 : 703,843 = 153,665.16 : x
  2. Step 2: Convert to fraction form
    469,221/703,843 = 153,665.16/x
  3. Step 3: Cross multiply
    469,221x = 703,843 × 153,665.16
  4. Step 4: Simplify right side
    469,221x = 108,156,147,209.88
  5. Step 5: Solve for x
    x = 108,156,147,209.88/469,221
  6. Step 6: Final answer
    x = 230,501.51

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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.