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Finding the Fourth Proportional to 283,972.61, 425,965.05 and 84,307.01

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Solution

The fourth proportional to 283,972.61, 425,965.05 and 84,307.01 is: 126,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,972.61 : 425,965.05 = 84,307.01 : x
  2. Step 2: Convert to fraction form
    283,972.61/425,965.05 = 84,307.01/x
  3. Step 3: Cross multiply
    283,972.61x = 425,965.05 × 84,307.01
  4. Step 4: Simplify right side
    283,972.61x = 35,911,837,600.18
  5. Step 5: Solve for x
    x = 35,911,837,600.18/283,972.61
  6. Step 6: Final answer
    x = 126,462.33

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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.