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Finding the Fourth Proportional to 456,213.32, 684,417.78 and 136,390.22

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Solution

The fourth proportional to 456,213.32, 684,417.78 and 136,390.22 is: 204,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,213.32 : 684,417.78 = 136,390.22 : x
  2. Step 2: Convert to fraction form
    456,213.32/684,417.78 = 136,390.22/x
  3. Step 3: Cross multiply
    456,213.32x = 684,417.78 × 136,390.22
  4. Step 4: Simplify right side
    456,213.32x = 93,347,888,164.02
  5. Step 5: Solve for x
    x = 93,347,888,164.02/456,213.32
  6. Step 6: Final answer
    x = 204,614.56

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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.