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Finding the Fourth Proportional to 464,072.76, 640,369.06 and 257,335.95

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Solution

The fourth proportional to 464,072.76, 640,369.06 and 257,335.95 is: 355,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,072.76 : 640,369.06 = 257,335.95 : x
  2. Step 2: Convert to fraction form
    464,072.76/640,369.06 = 257,335.95/x
  3. Step 3: Cross multiply
    464,072.76x = 640,369.06 × 257,335.95
  4. Step 4: Simplify right side
    464,072.76x = 164,789,982,163.75
  5. Step 5: Solve for x
    x = 164,789,982,163.75/464,072.76
  6. Step 6: Final answer
    x = 355,095.14

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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.