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Finding the Fourth Proportional to 451,640.95, 623,292.10 and 260,666.64

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Solution

The fourth proportional to 451,640.95, 623,292.10 and 260,666.64 is: 359,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,640.95 : 623,292.10 = 260,666.64 : x
  2. Step 2: Convert to fraction form
    451,640.95/623,292.10 = 260,666.64/x
  3. Step 3: Cross multiply
    451,640.95x = 623,292.10 × 260,666.64
  4. Step 4: Simplify right side
    451,640.95x = 162,471,456,793.88
  5. Step 5: Solve for x
    x = 162,471,456,793.88/451,640.95
  6. Step 6: Final answer
    x = 359,735.89

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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.