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Finding the Fourth Proportional to 462,777.90, 694,030.68 and 209,912.10

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Solution

The fourth proportional to 462,777.90, 694,030.68 and 209,912.10 is: 314,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,777.90 : 694,030.68 = 209,912.10 : x
  2. Step 2: Convert to fraction form
    462,777.90/694,030.68 = 209,912.10/x
  3. Step 3: Cross multiply
    462,777.90x = 694,030.68 × 209,912.10
  4. Step 4: Simplify right side
    462,777.90x = 145,685,437,503.23
  5. Step 5: Solve for x
    x = 145,685,437,503.23/462,777.90
  6. Step 6: Final answer
    x = 314,806.38

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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.