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Finding the Fourth Proportional to 386,414, 533,150.40 and 223,030.52

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Solution

The fourth proportional to 386,414, 533,150.40 and 223,030.52 is: 307,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,414 : 533,150.40 = 223,030.52 : x
  2. Step 2: Convert to fraction form
    386,414/533,150.40 = 223,030.52/x
  3. Step 3: Cross multiply
    386,414x = 533,150.40 × 223,030.52
  4. Step 4: Simplify right side
    386,414x = 118,908,810,950.21
  5. Step 5: Solve for x
    x = 118,908,810,950.21/386,414
  6. Step 6: Final answer
    x = 307,723.87

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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.