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Finding the Fourth Proportional to 230,424.57, 317,830.32 and 200,157.18

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Solution

The fourth proportional to 230,424.57, 317,830.32 and 200,157.18 is: 276,081.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,424.57 : 317,830.32 = 200,157.18 : x
  2. Step 2: Convert to fraction form
    230,424.57/317,830.32 = 200,157.18/x
  3. Step 3: Cross multiply
    230,424.57x = 317,830.32 × 200,157.18
  4. Step 4: Simplify right side
    230,424.57x = 63,616,020,569.70
  5. Step 5: Solve for x
    x = 63,616,020,569.70/230,424.57
  6. Step 6: Final answer
    x = 276,081.76

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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.