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Finding the Fourth Proportional to 490,763.78, 736,145.88 and 153,830.66

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Solution

The fourth proportional to 490,763.78, 736,145.88 and 153,830.66 is: 230,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,763.78 : 736,145.88 = 153,830.66 : x
  2. Step 2: Convert to fraction form
    490,763.78/736,145.88 = 153,830.66/x
  3. Step 3: Cross multiply
    490,763.78x = 736,145.88 × 153,830.66
  4. Step 4: Simplify right side
    490,763.78x = 113,241,806,576.68
  5. Step 5: Solve for x
    x = 113,241,806,576.68/490,763.78
  6. Step 6: Final answer
    x = 230,746.06

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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.