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Finding the Fourth Proportional to 304,044.64, 419,700 and 272,158.40

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Solution

The fourth proportional to 304,044.64, 419,700 and 272,158.40 is: 375,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,044.64 : 419,700 = 272,158.40 : x
  2. Step 2: Convert to fraction form
    304,044.64/419,700 = 272,158.40/x
  3. Step 3: Cross multiply
    304,044.64x = 419,700 × 272,158.40
  4. Step 4: Simplify right side
    304,044.64x = 114,224,880,480.00
  5. Step 5: Solve for x
    x = 114,224,880,480.00/304,044.64
  6. Step 6: Final answer
    x = 375,684.57

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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.