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Finding the Fourth Proportional to 302,115.40, 453,318.90 and 213,177.40

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Solution

The fourth proportional to 302,115.40, 453,318.90 and 213,177.40 is: 319,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,115.40 : 453,318.90 = 213,177.40 : x
  2. Step 2: Convert to fraction form
    302,115.40/453,318.90 = 213,177.40/x
  3. Step 3: Cross multiply
    302,115.40x = 453,318.90 × 213,177.40
  4. Step 4: Simplify right side
    302,115.40x = 96,637,344,472.86
  5. Step 5: Solve for x
    x = 96,637,344,472.86/302,115.40
  6. Step 6: Final answer
    x = 319,868.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.