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Finding the Fourth Proportional to 283,465, 391,181.70 and 156,140.20

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Solution

The fourth proportional to 283,465, 391,181.70 and 156,140.20 is: 215,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,465 : 391,181.70 = 156,140.20 : x
  2. Step 2: Convert to fraction form
    283,465/391,181.70 = 156,140.20/x
  3. Step 3: Cross multiply
    283,465x = 391,181.70 × 156,140.20
  4. Step 4: Simplify right side
    283,465x = 61,079,188,874.34
  5. Step 5: Solve for x
    x = 61,079,188,874.34/283,465
  6. Step 6: Final answer
    x = 215,473.48

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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.