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Finding the Fourth Proportional to 231,347.10, 347,020.65 and 191,981.10

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Solution

The fourth proportional to 231,347.10, 347,020.65 and 191,981.10 is: 287,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,347.10 : 347,020.65 = 191,981.10 : x
  2. Step 2: Convert to fraction form
    231,347.10/347,020.65 = 191,981.10/x
  3. Step 3: Cross multiply
    231,347.10x = 347,020.65 × 191,981.10
  4. Step 4: Simplify right side
    231,347.10x = 66,621,406,109.72
  5. Step 5: Solve for x
    x = 66,621,406,109.72/231,347.10
  6. Step 6: Final answer
    x = 287,971.65

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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.