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Finding the Fourth Proportional to 421,710.17, 582,053.45 and 291,071.27

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Solution

The fourth proportional to 421,710.17, 582,053.45 and 291,071.27 is: 401,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,710.17 : 582,053.45 = 291,071.27 : x
  2. Step 2: Convert to fraction form
    421,710.17/582,053.45 = 291,071.27/x
  3. Step 3: Cross multiply
    421,710.17x = 582,053.45 × 291,071.27
  4. Step 4: Simplify right side
    421,710.17x = 169,419,036,899.16
  5. Step 5: Solve for x
    x = 169,419,036,899.16/421,710.17
  6. Step 6: Final answer
    x = 401,742.83

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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.