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Finding the Fourth Proportional to 553,500, 830,250 and 179,523

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Solution

The fourth proportional to 553,500, 830,250 and 179,523 is: 269,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,500 : 830,250 = 179,523 : x
  2. Step 2: Convert to fraction form
    553,500/830,250 = 179,523/x
  3. Step 3: Cross multiply
    553,500x = 830,250 × 179,523
  4. Step 4: Simplify right side
    553,500x = 149,048,970,750
  5. Step 5: Solve for x
    x = 149,048,970,750/553,500
  6. Step 6: Final answer
    x = 269,284.50

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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.