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Finding the Fourth Proportional to 304,837.80, 457,256.70 and 186,642.60

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Solution

The fourth proportional to 304,837.80, 457,256.70 and 186,642.60 is: 279,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,837.80 : 457,256.70 = 186,642.60 : x
  2. Step 2: Convert to fraction form
    304,837.80/457,256.70 = 186,642.60/x
  3. Step 3: Cross multiply
    304,837.80x = 457,256.70 × 186,642.60
  4. Step 4: Simplify right side
    304,837.80x = 85,343,579,355.42
  5. Step 5: Solve for x
    x = 85,343,579,355.42/304,837.80
  6. Step 6: Final answer
    x = 279,963.90

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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.