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Finding the Fourth Proportional to 386,639, 533,560.72 and 214,582.96

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Solution

The fourth proportional to 386,639, 533,560.72 and 214,582.96 is: 296,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,639 : 533,560.72 = 214,582.96 : x
  2. Step 2: Convert to fraction form
    386,639/533,560.72 = 214,582.96/x
  3. Step 3: Cross multiply
    386,639x = 533,560.72 × 214,582.96
  4. Step 4: Simplify right side
    386,639x = 114,493,038,637.33
  5. Step 5: Solve for x
    x = 114,493,038,637.33/386,639
  6. Step 6: Final answer
    x = 296,123.87

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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.