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Finding the Fourth Proportional to 362,300.88, 499,989.60 and 209,334

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Solution

The fourth proportional to 362,300.88, 499,989.60 and 209,334 is: 288,889.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,300.88 : 499,989.60 = 209,334 : x
  2. Step 2: Convert to fraction form
    362,300.88/499,989.60 = 209,334/x
  3. Step 3: Cross multiply
    362,300.88x = 499,989.60 × 209,334
  4. Step 4: Simplify right side
    362,300.88x = 104,664,822,926.40
  5. Step 5: Solve for x
    x = 104,664,822,926.40/362,300.88
  6. Step 6: Final answer
    x = 288,889.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.