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Finding the Fourth Proportional to 490,852.96, 736,280.48 and 135,868

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Solution

The fourth proportional to 490,852.96, 736,280.48 and 135,868 is: 203,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,852.96 : 736,280.48 = 135,868 : x
  2. Step 2: Convert to fraction form
    490,852.96/736,280.48 = 135,868/x
  3. Step 3: Cross multiply
    490,852.96x = 736,280.48 × 135,868
  4. Step 4: Simplify right side
    490,852.96x = 100,036,956,256.64
  5. Step 5: Solve for x
    x = 100,036,956,256.64/490,852.96
  6. Step 6: Final answer
    x = 203,802.29

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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.