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Finding the Fourth Proportional to 283,806.12, 391,720.68 and 170,607

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Solution

The fourth proportional to 283,806.12, 391,720.68 and 170,607 is: 235,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,806.12 : 391,720.68 = 170,607 : x
  2. Step 2: Convert to fraction form
    283,806.12/391,720.68 = 170,607/x
  3. Step 3: Cross multiply
    283,806.12x = 391,720.68 × 170,607
  4. Step 4: Simplify right side
    283,806.12x = 66,830,290,052.76
  5. Step 5: Solve for x
    x = 66,830,290,052.76/283,806.12
  6. Step 6: Final answer
    x = 235,478.68

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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.