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Finding the Fourth Proportional to 310,438.34, 428,730.15 and 213,893.22

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Solution

The fourth proportional to 310,438.34, 428,730.15 and 213,893.22 is: 295,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,438.34 : 428,730.15 = 213,893.22 : x
  2. Step 2: Convert to fraction form
    310,438.34/428,730.15 = 213,893.22/x
  3. Step 3: Cross multiply
    310,438.34x = 428,730.15 × 213,893.22
  4. Step 4: Simplify right side
    310,438.34x = 91,702,472,294.58
  5. Step 5: Solve for x
    x = 91,702,472,294.58/310,438.34
  6. Step 6: Final answer
    x = 295,396.74

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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.