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Finding the Fourth Proportional to 283,695.84, 425,012.40 and 254,484

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Solution

The fourth proportional to 283,695.84, 425,012.40 and 254,484 is: 381,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,695.84 : 425,012.40 = 254,484 : x
  2. Step 2: Convert to fraction form
    283,695.84/425,012.40 = 254,484/x
  3. Step 3: Cross multiply
    283,695.84x = 425,012.40 × 254,484
  4. Step 4: Simplify right side
    283,695.84x = 108,158,855,601.60
  5. Step 5: Solve for x
    x = 108,158,855,601.60/283,695.84
  6. Step 6: Final answer
    x = 381,249.35

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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.