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Finding the Fourth Proportional to 370,311.90, 511,030.71 and 209,167.26

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Solution

The fourth proportional to 370,311.90, 511,030.71 and 209,167.26 is: 288,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,311.90 : 511,030.71 = 209,167.26 : x
  2. Step 2: Convert to fraction form
    370,311.90/511,030.71 = 209,167.26/x
  3. Step 3: Cross multiply
    370,311.90x = 511,030.71 × 209,167.26
  4. Step 4: Simplify right side
    370,311.90x = 106,890,893,386.56
  5. Step 5: Solve for x
    x = 106,890,893,386.56/370,311.90
  6. Step 6: Final answer
    x = 288,650.98

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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.