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Finding the Fourth Proportional to 370,935.90, 511,885.41 and 209,784.90

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Solution

The fourth proportional to 370,935.90, 511,885.41 and 209,784.90 is: 289,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,935.90 : 511,885.41 = 209,784.90 : x
  2. Step 2: Convert to fraction form
    370,935.90/511,885.41 = 209,784.90/x
  3. Step 3: Cross multiply
    370,935.90x = 511,885.41 × 209,784.90
  4. Step 4: Simplify right side
    370,935.90x = 107,385,829,548.31
  5. Step 5: Solve for x
    x = 107,385,829,548.31/370,935.90
  6. Step 6: Final answer
    x = 289,499.69

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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.