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Finding the Fourth Proportional to 490,796.98, 736,204.79 and 153,830.21

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Solution

The fourth proportional to 490,796.98, 736,204.79 and 153,830.21 is: 230,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,796.98 : 736,204.79 = 153,830.21 : x
  2. Step 2: Convert to fraction form
    490,796.98/736,204.79 = 153,830.21/x
  3. Step 3: Cross multiply
    490,796.98x = 736,204.79 × 153,830.21
  4. Step 4: Simplify right side
    490,796.98x = 113,250,534,152.26
  5. Step 5: Solve for x
    x = 113,250,534,152.26/490,796.98
  6. Step 6: Final answer
    x = 230,748.23

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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.