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Finding the Fourth Proportional to 432,024.40, 647,712.60 and 221,813.20

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Solution

The fourth proportional to 432,024.40, 647,712.60 and 221,813.20 is: 332,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,024.40 : 647,712.60 = 221,813.20 : x
  2. Step 2: Convert to fraction form
    432,024.40/647,712.60 = 221,813.20/x
  3. Step 3: Cross multiply
    432,024.40x = 647,712.60 × 221,813.20
  4. Step 4: Simplify right side
    432,024.40x = 143,671,204,486.32
  5. Step 5: Solve for x
    x = 143,671,204,486.32/432,024.40
  6. Step 6: Final answer
    x = 332,553.45

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1.5x scale

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.