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Finding the Fourth Proportional to 456,257.34, 684,378.44 and 136,409.94

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Solution

The fourth proportional to 456,257.34, 684,378.44 and 136,409.94 is: 204,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,257.34 : 684,378.44 = 136,409.94 : x
  2. Step 2: Convert to fraction form
    456,257.34/684,378.44 = 136,409.94/x
  3. Step 3: Cross multiply
    456,257.34x = 684,378.44 × 136,409.94
  4. Step 4: Simplify right side
    456,257.34x = 93,356,021,937.69
  5. Step 5: Solve for x
    x = 93,356,021,937.69/456,257.34
  6. Step 6: Final answer
    x = 204,612.65

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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.