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Finding the Fourth Proportional to 614,402.40, 921,650.40 and 209,468.96

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Solution

The fourth proportional to 614,402.40, 921,650.40 and 209,468.96 is: 314,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,402.40 : 921,650.40 = 209,468.96 : x
  2. Step 2: Convert to fraction form
    614,402.40/921,650.40 = 209,468.96/x
  3. Step 3: Cross multiply
    614,402.40x = 921,650.40 × 209,468.96
  4. Step 4: Simplify right side
    614,402.40x = 193,057,150,771.58
  5. Step 5: Solve for x
    x = 193,057,150,771.58/614,402.40
  6. Step 6: Final answer
    x = 314,219.40

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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.