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Finding the Fourth Proportional to 283,355.43, 391,028.58 and 156,030

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Solution

The fourth proportional to 283,355.43, 391,028.58 and 156,030 is: 215,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,355.43 : 391,028.58 = 156,030 : x
  2. Step 2: Convert to fraction form
    283,355.43/391,028.58 = 156,030/x
  3. Step 3: Cross multiply
    283,355.43x = 391,028.58 × 156,030
  4. Step 4: Simplify right side
    283,355.43x = 61,012,189,337.40
  5. Step 5: Solve for x
    x = 61,012,189,337.40/283,355.43
  6. Step 6: Final answer
    x = 215,320.35

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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.