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Finding the Fourth Proportional to 370,426.99, 511,188.14 and 209,281.98

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Solution

The fourth proportional to 370,426.99, 511,188.14 and 209,281.98 is: 288,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,426.99 : 511,188.14 = 209,281.98 : x
  2. Step 2: Convert to fraction form
    370,426.99/511,188.14 = 209,281.98/x
  3. Step 3: Cross multiply
    370,426.99x = 511,188.14 × 209,281.98
  4. Step 4: Simplify right side
    370,426.99x = 106,982,466,091.72
  5. Step 5: Solve for x
    x = 106,982,466,091.72/370,426.99
  6. Step 6: Final answer
    x = 288,808.51

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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.