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Finding the Fourth Proportional to 490,304.52, 734,776.38 and 223,412.76

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Solution

The fourth proportional to 490,304.52, 734,776.38 and 223,412.76 is: 334,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,304.52 : 734,776.38 = 223,412.76 : x
  2. Step 2: Convert to fraction form
    490,304.52/734,776.38 = 223,412.76/x
  3. Step 3: Cross multiply
    490,304.52x = 734,776.38 × 223,412.76
  4. Step 4: Simplify right side
    490,304.52x = 164,158,419,038.61
  5. Step 5: Solve for x
    x = 164,158,419,038.61/490,304.52
  6. Step 6: Final answer
    x = 334,809.11

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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.