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Finding the Fourth Proportional to 370,513.37, 511,301.76 and 209,364.95

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Solution

The fourth proportional to 370,513.37, 511,301.76 and 209,364.95 is: 288,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,513.37 : 511,301.76 = 209,364.95 : x
  2. Step 2: Convert to fraction form
    370,513.37/511,301.76 = 209,364.95/x
  3. Step 3: Cross multiply
    370,513.37x = 511,301.76 × 209,364.95
  4. Step 4: Simplify right side
    370,513.37x = 107,048,664,860.80
  5. Step 5: Solve for x
    x = 107,048,664,860.80/370,513.37
  6. Step 6: Final answer
    x = 288,919.85

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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.