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Finding the Fourth Proportional to 384,210.86, 530,162.07 and 214,452.14

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Solution

The fourth proportional to 384,210.86, 530,162.07 and 214,452.14 is: 295,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,210.86 : 530,162.07 = 214,452.14 : x
  2. Step 2: Convert to fraction form
    384,210.86/530,162.07 = 214,452.14/x
  3. Step 3: Cross multiply
    384,210.86x = 530,162.07 × 214,452.14
  4. Step 4: Simplify right side
    384,210.86x = 113,694,390,458.33
  5. Step 5: Solve for x
    x = 113,694,390,458.33/384,210.86
  6. Step 6: Final answer
    x = 295,916.65

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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.