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Finding the Fourth Proportional to 283,519.98, 391,314.24 and 162,742.91

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Solution

The fourth proportional to 283,519.98, 391,314.24 and 162,742.91 is: 224,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,519.98 : 391,314.24 = 162,742.91 : x
  2. Step 2: Convert to fraction form
    283,519.98/391,314.24 = 162,742.91/x
  3. Step 3: Cross multiply
    283,519.98x = 391,314.24 × 162,742.91
  4. Step 4: Simplify right side
    283,519.98x = 63,683,616,185.47
  5. Step 5: Solve for x
    x = 63,683,616,185.47/283,519.98
  6. Step 6: Final answer
    x = 224,617.74

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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.