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Finding the Fourth Proportional to 813,564, 1,220,346 and 252,598.50

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Solution

The fourth proportional to 813,564, 1,220,346 and 252,598.50 is: 378,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,564 : 1,220,346 = 252,598.50 : x
  2. Step 2: Convert to fraction form
    813,564/1,220,346 = 252,598.50/x
  3. Step 3: Cross multiply
    813,564x = 1,220,346 × 252,598.50
  4. Step 4: Simplify right side
    813,564x = 308,257,569,081
  5. Step 5: Solve for x
    x = 308,257,569,081/813,564
  6. Step 6: Final answer
    x = 378,897.75

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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.