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Finding the Fourth Proportional to 283,745.20, 391,566.96 and 156,420.64

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Solution

The fourth proportional to 283,745.20, 391,566.96 and 156,420.64 is: 215,859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,745.20 : 391,566.96 = 156,420.64 : x
  2. Step 2: Convert to fraction form
    283,745.20/391,566.96 = 156,420.64/x
  3. Step 3: Cross multiply
    283,745.20x = 391,566.96 × 156,420.64
  4. Step 4: Simplify right side
    283,745.20x = 61,249,154,486.05
  5. Step 5: Solve for x
    x = 61,249,154,486.05/283,745.20
  6. Step 6: Final answer
    x = 215,859.70

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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.