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Finding the Fourth Proportional to 457,719.66, 686,102.60 and 153,888.26

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Solution

The fourth proportional to 457,719.66, 686,102.60 and 153,888.26 is: 230,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,719.66 : 686,102.60 = 153,888.26 : x
  2. Step 2: Convert to fraction form
    457,719.66/686,102.60 = 153,888.26/x
  3. Step 3: Cross multiply
    457,719.66x = 686,102.60 × 153,888.26
  4. Step 4: Simplify right side
    457,719.66x = 105,583,132,249.68
  5. Step 5: Solve for x
    x = 105,583,132,249.68/457,719.66
  6. Step 6: Final answer
    x = 230,672.05

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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.