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Finding the Fourth Proportional to 322,465.78, 445,201.95 and 207,784.90

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Solution

The fourth proportional to 322,465.78, 445,201.95 and 207,784.90 is: 286,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,465.78 : 445,201.95 = 207,784.90 : x
  2. Step 2: Convert to fraction form
    322,465.78/445,201.95 = 207,784.90/x
  3. Step 3: Cross multiply
    322,465.78x = 445,201.95 × 207,784.90
  4. Step 4: Simplify right side
    322,465.78x = 92,506,242,660.56
  5. Step 5: Solve for x
    x = 92,506,242,660.56/322,465.78
  6. Step 6: Final answer
    x = 286,871.50

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1.5x scale

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.