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Finding the Fourth Proportional to 304,042.64, 419,697.24 and 272,156.40

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Solution

The fourth proportional to 304,042.64, 419,697.24 and 272,156.40 is: 375,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,042.64 : 419,697.24 = 272,156.40 : x
  2. Step 2: Convert to fraction form
    304,042.64/419,697.24 = 272,156.40/x
  3. Step 3: Cross multiply
    304,042.64x = 419,697.24 × 272,156.40
  4. Step 4: Simplify right side
    304,042.64x = 114,223,289,928.34
  5. Step 5: Solve for x
    x = 114,223,289,928.34/304,042.64
  6. Step 6: Final answer
    x = 375,681.81

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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.