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Finding the Fourth Proportional to 307,946.40, 462,380.40 and 214,864.80

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Solution

The fourth proportional to 307,946.40, 462,380.40 and 214,864.80 is: 322,618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,946.40 : 462,380.40 = 214,864.80 : x
  2. Step 2: Convert to fraction form
    307,946.40/462,380.40 = 214,864.80/x
  3. Step 3: Cross multiply
    307,946.40x = 462,380.40 × 214,864.80
  4. Step 4: Simplify right side
    307,946.40x = 99,349,272,169.92
  5. Step 5: Solve for x
    x = 99,349,272,169.92/307,946.40
  6. Step 6: Final answer
    x = 322,618.72

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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.