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Finding the Fourth Proportional to 464,084.96, 640,398.12 and 257,359.28

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Solution

The fourth proportional to 464,084.96, 640,398.12 and 257,359.28 is: 355,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,084.96 : 640,398.12 = 257,359.28 : x
  2. Step 2: Convert to fraction form
    464,084.96/640,398.12 = 257,359.28/x
  3. Step 3: Cross multiply
    464,084.96x = 640,398.12 × 257,359.28
  4. Step 4: Simplify right side
    464,084.96x = 164,812,399,076.55
  5. Step 5: Solve for x
    x = 164,812,399,076.55/464,084.96
  6. Step 6: Final answer
    x = 355,134.11

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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.