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Finding the Fourth Proportional to 386,430.95, 533,236.60 and 214,345.91

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Solution

The fourth proportional to 386,430.95, 533,236.60 and 214,345.91 is: 295,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,430.95 : 533,236.60 = 214,345.91 : x
  2. Step 2: Convert to fraction form
    386,430.95/533,236.60 = 214,345.91/x
  3. Step 3: Cross multiply
    386,430.95x = 533,236.60 × 214,345.91
  4. Step 4: Simplify right side
    386,430.95x = 114,297,085,873.33
  5. Step 5: Solve for x
    x = 114,297,085,873.33/386,430.95
  6. Step 6: Final answer
    x = 295,776.22

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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.