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Finding the Fourth Proportional to 421,454.17, 582,085.79 and 283,392.91

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Solution

The fourth proportional to 421,454.17, 582,085.79 and 283,392.91 is: 391,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,454.17 : 582,085.79 = 283,392.91 : x
  2. Step 2: Convert to fraction form
    421,454.17/582,085.79 = 283,392.91/x
  3. Step 3: Cross multiply
    421,454.17x = 582,085.79 × 283,392.91
  4. Step 4: Simplify right side
    421,454.17x = 164,958,985,897.75
  5. Step 5: Solve for x
    x = 164,958,985,897.75/421,454.17
  6. Step 6: Final answer
    x = 391,404.33

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1.5x scale

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.