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Finding the Fourth Proportional to 227,216.40, 340,821.40 and 102,557.20

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Solution

The fourth proportional to 227,216.40, 340,821.40 and 102,557.20 is: 153,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,216.40 : 340,821.40 = 102,557.20 : x
  2. Step 2: Convert to fraction form
    227,216.40/340,821.40 = 102,557.20/x
  3. Step 3: Cross multiply
    227,216.40x = 340,821.40 × 102,557.20
  4. Step 4: Simplify right side
    227,216.40x = 34,953,688,484.08
  5. Step 5: Solve for x
    x = 34,953,688,484.08/227,216.40
  6. Step 6: Final answer
    x = 153,834.36

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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.