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Finding the Fourth Proportional to 656,652.30, 906,178.23 and 354,846.30

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Solution

The fourth proportional to 656,652.30, 906,178.23 and 354,846.30 is: 489,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,652.30 : 906,178.23 = 354,846.30 : x
  2. Step 2: Convert to fraction form
    656,652.30/906,178.23 = 354,846.30/x
  3. Step 3: Cross multiply
    656,652.30x = 906,178.23 × 354,846.30
  4. Step 4: Simplify right side
    656,652.30x = 321,553,992,056.05
  5. Step 5: Solve for x
    x = 321,553,992,056.05/656,652.30
  6. Step 6: Final answer
    x = 489,686.84

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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.