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Finding the Fourth Proportional to 611,711.31, 917,576.19 and 212,364.77

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Solution

The fourth proportional to 611,711.31, 917,576.19 and 212,364.77 is: 318,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,711.31 : 917,576.19 = 212,364.77 : x
  2. Step 2: Convert to fraction form
    611,711.31/917,576.19 = 212,364.77/x
  3. Step 3: Cross multiply
    611,711.31x = 917,576.19 × 212,364.77
  4. Step 4: Simplify right side
    611,711.31x = 194,860,859,637.14
  5. Step 5: Solve for x
    x = 194,860,859,637.14/611,711.31
  6. Step 6: Final answer
    x = 318,550.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.