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Finding the Fourth Proportional to 478,043.20, 716,732.40 and 211,658.26

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Solution

The fourth proportional to 478,043.20, 716,732.40 and 211,658.26 is: 317,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,043.20 : 716,732.40 = 211,658.26 : x
  2. Step 2: Convert to fraction form
    478,043.20/716,732.40 = 211,658.26/x
  3. Step 3: Cross multiply
    478,043.20x = 716,732.40 × 211,658.26
  4. Step 4: Simplify right side
    478,043.20x = 151,702,332,669.62
  5. Step 5: Solve for x
    x = 151,702,332,669.62/478,043.20
  6. Step 6: Final answer
    x = 317,340.22

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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.