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Finding the Fourth Proportional to 666,461.90, 999,813.14 and 217,142.76

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Solution

The fourth proportional to 666,461.90, 999,813.14 and 217,142.76 is: 325,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,461.90 : 999,813.14 = 217,142.76 : x
  2. Step 2: Convert to fraction form
    666,461.90/999,813.14 = 217,142.76/x
  3. Step 3: Cross multiply
    666,461.90x = 999,813.14 × 217,142.76
  4. Step 4: Simplify right side
    666,461.90x = 217,102,184,703.87
  5. Step 5: Solve for x
    x = 217,102,184,703.87/666,461.90
  6. Step 6: Final answer
    x = 325,753.33

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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.