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Finding the Fourth Proportional to 283,396.68, 390,976.26 and 162,473.40

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Solution

The fourth proportional to 283,396.68, 390,976.26 and 162,473.40 is: 224,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,396.68 : 390,976.26 = 162,473.40 : x
  2. Step 2: Convert to fraction form
    283,396.68/390,976.26 = 162,473.40/x
  3. Step 3: Cross multiply
    283,396.68x = 390,976.26 × 162,473.40
  4. Step 4: Simplify right side
    283,396.68x = 63,523,242,281.48
  5. Step 5: Solve for x
    x = 63,523,242,281.48/283,396.68
  6. Step 6: Final answer
    x = 224,149.56

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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.