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Finding the Fourth Proportional to 553,259.43, 829,396.80 and 216,223.44

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Solution

The fourth proportional to 553,259.43, 829,396.80 and 216,223.44 is: 324,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,259.43 : 829,396.80 = 216,223.44 : x
  2. Step 2: Convert to fraction form
    553,259.43/829,396.80 = 216,223.44/x
  3. Step 3: Cross multiply
    553,259.43x = 829,396.80 × 216,223.44
  4. Step 4: Simplify right side
    553,259.43x = 179,335,029,220.99
  5. Step 5: Solve for x
    x = 179,335,029,220.99/553,259.43
  6. Step 6: Final answer
    x = 324,142.74

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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.