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Finding the Fourth Proportional to 490,713.88, 736,069.92 and 153,780.34

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Solution

The fourth proportional to 490,713.88, 736,069.92 and 153,780.34 is: 230,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,713.88 : 736,069.92 = 153,780.34 : x
  2. Step 2: Convert to fraction form
    490,713.88/736,069.92 = 153,780.34/x
  3. Step 3: Cross multiply
    490,713.88x = 736,069.92 × 153,780.34
  4. Step 4: Simplify right side
    490,713.88x = 113,193,082,561.37
  5. Step 5: Solve for x
    x = 113,193,082,561.37/490,713.88
  6. Step 6: Final answer
    x = 230,670.23

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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.