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Finding the Fourth Proportional to 417,967.13, 576,971.22 and 282,185

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Solution

The fourth proportional to 417,967.13, 576,971.22 and 282,185 is: 389,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,967.13 : 576,971.22 = 282,185 : x
  2. Step 2: Convert to fraction form
    417,967.13/576,971.22 = 282,185/x
  3. Step 3: Cross multiply
    417,967.13x = 576,971.22 × 282,185
  4. Step 4: Simplify right side
    417,967.13x = 162,812,623,715.70
  5. Step 5: Solve for x
    x = 162,812,623,715.70/417,967.13
  6. Step 6: Final answer
    x = 389,534.52

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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.