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Finding the Fourth Proportional to 326,805.30, 490,207.95 and 105,189.30

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Solution

The fourth proportional to 326,805.30, 490,207.95 and 105,189.30 is: 157,783.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,805.30 : 490,207.95 = 105,189.30 : x
  2. Step 2: Convert to fraction form
    326,805.30/490,207.95 = 105,189.30/x
  3. Step 3: Cross multiply
    326,805.30x = 490,207.95 × 105,189.30
  4. Step 4: Simplify right side
    326,805.30x = 51,564,631,114.94
  5. Step 5: Solve for x
    x = 51,564,631,114.94/326,805.30
  6. Step 6: Final answer
    x = 157,783.95

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1.5x scale

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.