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Finding the Fourth Proportional to 259,482.80, 389,321.40 and 101,824.40

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Solution

The fourth proportional to 259,482.80, 389,321.40 and 101,824.40 is: 152,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,482.80 : 389,321.40 = 101,824.40 : x
  2. Step 2: Convert to fraction form
    259,482.80/389,321.40 = 101,824.40/x
  3. Step 3: Cross multiply
    259,482.80x = 389,321.40 × 101,824.40
  4. Step 4: Simplify right side
    259,482.80x = 39,642,417,962.16
  5. Step 5: Solve for x
    x = 39,642,417,962.16/259,482.80
  6. Step 6: Final answer
    x = 152,774.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.