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Finding the Fourth Proportional to 331,649.64, 457,678.08 and 188,417.54

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Solution

The fourth proportional to 331,649.64, 457,678.08 and 188,417.54 is: 260,017.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,649.64 : 457,678.08 = 188,417.54 : x
  2. Step 2: Convert to fraction form
    331,649.64/457,678.08 = 188,417.54/x
  3. Step 3: Cross multiply
    331,649.64x = 457,678.08 × 188,417.54
  4. Step 4: Simplify right side
    331,649.64x = 86,234,579,089.72
  5. Step 5: Solve for x
    x = 86,234,579,089.72/331,649.64
  6. Step 6: Final answer
    x = 260,017.10

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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.