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Finding the Fourth Proportional to 617,754.48, 926,640.84 and 243,774

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Solution

The fourth proportional to 617,754.48, 926,640.84 and 243,774 is: 365,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,754.48 : 926,640.84 = 243,774 : x
  2. Step 2: Convert to fraction form
    617,754.48/926,640.84 = 243,774/x
  3. Step 3: Cross multiply
    617,754.48x = 926,640.84 × 243,774
  4. Step 4: Simplify right side
    617,754.48x = 225,890,944,130.16
  5. Step 5: Solve for x
    x = 225,890,944,130.16/617,754.48
  6. Step 6: Final answer
    x = 365,664.60

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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.