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Finding the Fourth Proportional to 418,711.46, 627,814.32 and 187,858.30

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Solution

The fourth proportional to 418,711.46, 627,814.32 and 187,858.30 is: 281,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,711.46 : 627,814.32 = 187,858.30 : x
  2. Step 2: Convert to fraction form
    418,711.46/627,814.32 = 187,858.30/x
  3. Step 3: Cross multiply
    418,711.46x = 627,814.32 × 187,858.30
  4. Step 4: Simplify right side
    418,711.46x = 117,940,130,870.86
  5. Step 5: Solve for x
    x = 117,940,130,870.86/418,711.46
  6. Step 6: Final answer
    x = 281,674.00

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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.