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Finding the Fourth Proportional to 490,643.10, 735,890.85 and 314,381.84

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Solution

The fourth proportional to 490,643.10, 735,890.85 and 314,381.84 is: 471,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,643.10 : 735,890.85 = 314,381.84 : x
  2. Step 2: Convert to fraction form
    490,643.10/735,890.85 = 314,381.84/x
  3. Step 3: Cross multiply
    490,643.10x = 735,890.85 × 314,381.84
  4. Step 4: Simplify right side
    490,643.10x = 231,350,715,782.71
  5. Step 5: Solve for x
    x = 231,350,715,782.71/490,643.10
  6. Step 6: Final answer
    x = 471,525.46

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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.