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Finding the Fourth Proportional to 230,683.69, 317,980.96 and 157,960.87

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Solution

The fourth proportional to 230,683.69, 317,980.96 and 157,960.87 is: 217,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,683.69 : 317,980.96 = 157,960.87 : x
  2. Step 2: Convert to fraction form
    230,683.69/317,980.96 = 157,960.87/x
  3. Step 3: Cross multiply
    230,683.69x = 317,980.96 × 157,960.87
  4. Step 4: Simplify right side
    230,683.69x = 50,228,549,085.04
  5. Step 5: Solve for x
    x = 50,228,549,085.04/230,683.69
  6. Step 6: Final answer
    x = 217,737.76

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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.