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Finding the Fourth Proportional to 705,449.97, 972,987.53 and 490,482.45

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Solution

The fourth proportional to 705,449.97, 972,987.53 and 490,482.45 is: 676,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,449.97 : 972,987.53 = 490,482.45 : x
  2. Step 2: Convert to fraction form
    705,449.97/972,987.53 = 490,482.45/x
  3. Step 3: Cross multiply
    705,449.97x = 972,987.53 × 490,482.45
  4. Step 4: Simplify right side
    705,449.97x = 477,233,305,081.44
  5. Step 5: Solve for x
    x = 477,233,305,081.44/705,449.97
  6. Step 6: Final answer
    x = 676,494.90

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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.