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Finding the Fourth Proportional to 490,846.80, 735,881.40 and 210,133.20

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Solution

The fourth proportional to 490,846.80, 735,881.40 and 210,133.20 is: 315,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,846.80 : 735,881.40 = 210,133.20 : x
  2. Step 2: Convert to fraction form
    490,846.80/735,881.40 = 210,133.20/x
  3. Step 3: Cross multiply
    490,846.80x = 735,881.40 × 210,133.20
  4. Step 4: Simplify right side
    490,846.80x = 154,633,113,402.48
  5. Step 5: Solve for x
    x = 154,633,113,402.48/490,846.80
  6. Step 6: Final answer
    x = 315,033.35

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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.