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Finding the Fourth Proportional to 283,101.84, 390,677.85 and 160,617.42

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Solution

The fourth proportional to 283,101.84, 390,677.85 and 160,617.42 is: 221,650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,101.84 : 390,677.85 = 160,617.42 : x
  2. Step 2: Convert to fraction form
    283,101.84/390,677.85 = 160,617.42/x
  3. Step 3: Cross multiply
    283,101.84x = 390,677.85 × 160,617.42
  4. Step 4: Simplify right side
    283,101.84x = 62,749,668,318.15
  5. Step 5: Solve for x
    x = 62,749,668,318.15/283,101.84
  6. Step 6: Final answer
    x = 221,650.51

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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.