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Finding the Fourth Proportional to 475,683.52, 656,463.36 and 271,768

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Solution

The fourth proportional to 475,683.52, 656,463.36 and 271,768 is: 375,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,683.52 : 656,463.36 = 271,768 : x
  2. Step 2: Convert to fraction form
    475,683.52/656,463.36 = 271,768/x
  3. Step 3: Cross multiply
    475,683.52x = 656,463.36 × 271,768
  4. Step 4: Simplify right side
    475,683.52x = 178,405,734,420.48
  5. Step 5: Solve for x
    x = 178,405,734,420.48/475,683.52
  6. Step 6: Final answer
    x = 375,051.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.