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Finding the Fourth Proportional to 230,395.86, 317,880.05 and 149,941.80

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Solution

The fourth proportional to 230,395.86, 317,880.05 and 149,941.80 is: 206,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,395.86 : 317,880.05 = 149,941.80 : x
  2. Step 2: Convert to fraction form
    230,395.86/317,880.05 = 149,941.80/x
  3. Step 3: Cross multiply
    230,395.86x = 317,880.05 × 149,941.80
  4. Step 4: Simplify right side
    230,395.86x = 47,663,506,131.38
  5. Step 5: Solve for x
    x = 47,663,506,131.38/230,395.86
  6. Step 6: Final answer
    x = 206,876.57

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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.