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Finding the Fourth Proportional to 310,439.34, 428,731.53 and 213,894.22

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Solution

The fourth proportional to 310,439.34, 428,731.53 and 213,894.22 is: 295,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,439.34 : 428,731.53 = 213,894.22 : x
  2. Step 2: Convert to fraction form
    310,439.34/428,731.53 = 213,894.22/x
  3. Step 3: Cross multiply
    310,439.34x = 428,731.53 × 213,894.22
  4. Step 4: Simplify right side
    310,439.34x = 91,703,196,198.76
  5. Step 5: Solve for x
    x = 91,703,196,198.76/310,439.34
  6. Step 6: Final answer
    x = 295,398.12

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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.