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Finding the Fourth Proportional to 472,986.20, 709,479.30 and 305,024.60

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Solution

The fourth proportional to 472,986.20, 709,479.30 and 305,024.60 is: 457,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,986.20 : 709,479.30 = 305,024.60 : x
  2. Step 2: Convert to fraction form
    472,986.20/709,479.30 = 305,024.60/x
  3. Step 3: Cross multiply
    472,986.20x = 709,479.30 × 305,024.60
  4. Step 4: Simplify right side
    472,986.20x = 216,408,639,690.78
  5. Step 5: Solve for x
    x = 216,408,639,690.78/472,986.20
  6. Step 6: Final answer
    x = 457,536.90

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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.