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Finding the Fourth Proportional to 656,783.05, 906,360.20 and 354,977.05

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Solution

The fourth proportional to 656,783.05, 906,360.20 and 354,977.05 is: 489,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,783.05 : 906,360.20 = 354,977.05 : x
  2. Step 2: Convert to fraction form
    656,783.05/906,360.20 = 354,977.05/x
  3. Step 3: Cross multiply
    656,783.05x = 906,360.20 × 354,977.05
  4. Step 4: Simplify right side
    656,783.05x = 321,737,069,023.21
  5. Step 5: Solve for x
    x = 321,737,069,023.21/656,783.05
  6. Step 6: Final answer
    x = 489,868.11

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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.