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Finding the Fourth Proportional to 362,301.88, 499,990.98 and 209,335

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Solution

The fourth proportional to 362,301.88, 499,990.98 and 209,335 is: 288,890.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,301.88 : 499,990.98 = 209,335 : x
  2. Step 2: Convert to fraction form
    362,301.88/499,990.98 = 209,335/x
  3. Step 3: Cross multiply
    362,301.88x = 499,990.98 × 209,335
  4. Step 4: Simplify right side
    362,301.88x = 104,665,611,798.30
  5. Step 5: Solve for x
    x = 104,665,611,798.30/362,301.88
  6. Step 6: Final answer
    x = 288,890.61

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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.