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Finding the Fourth Proportional to 283,376.40, 425,064.60 and 217,021.20

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Solution

The fourth proportional to 283,376.40, 425,064.60 and 217,021.20 is: 325,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,376.40 : 425,064.60 = 217,021.20 : x
  2. Step 2: Convert to fraction form
    283,376.40/425,064.60 = 217,021.20/x
  3. Step 3: Cross multiply
    283,376.40x = 425,064.60 × 217,021.20
  4. Step 4: Simplify right side
    283,376.40x = 92,248,029,569.52
  5. Step 5: Solve for x
    x = 92,248,029,569.52/283,376.40
  6. Step 6: Final answer
    x = 325,531.80

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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.