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Finding the Fourth Proportional to 472,495.20, 709,209.36 and 206,439.36

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Solution

The fourth proportional to 472,495.20, 709,209.36 and 206,439.36 is: 309,862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,495.20 : 709,209.36 = 206,439.36 : x
  2. Step 2: Convert to fraction form
    472,495.20/709,209.36 = 206,439.36/x
  3. Step 3: Cross multiply
    472,495.20x = 709,209.36 × 206,439.36
  4. Step 4: Simplify right side
    472,495.20x = 146,408,726,384.41
  5. Step 5: Solve for x
    x = 146,408,726,384.41/472,495.20
  6. Step 6: Final answer
    x = 309,862.89

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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.