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Finding the Fourth Proportional to 421,703.42, 582,044.13 and 291,064.49

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Solution

The fourth proportional to 421,703.42, 582,044.13 and 291,064.49 is: 401,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,703.42 : 582,044.13 = 291,064.49 : x
  2. Step 2: Convert to fraction form
    421,703.42/582,044.13 = 291,064.49/x
  3. Step 3: Cross multiply
    421,703.42x = 582,044.13 × 291,064.49
  4. Step 4: Simplify right side
    421,703.42x = 169,412,377,128.39
  5. Step 5: Solve for x
    x = 169,412,377,128.39/421,703.42
  6. Step 6: Final answer
    x = 401,733.47

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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.