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Finding the Fourth Proportional to 464,084.46, 640,397.43 and 257,358.78

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Solution

The fourth proportional to 464,084.46, 640,397.43 and 257,358.78 is: 355,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,084.46 : 640,397.43 = 257,358.78 : x
  2. Step 2: Convert to fraction form
    464,084.46/640,397.43 = 257,358.78/x
  3. Step 3: Cross multiply
    464,084.46x = 640,397.43 × 257,358.78
  4. Step 4: Simplify right side
    464,084.46x = 164,811,901,299.94
  5. Step 5: Solve for x
    x = 164,811,901,299.94/464,084.46
  6. Step 6: Final answer
    x = 355,133.42

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1.5x scale

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.