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Finding the Fourth Proportional to 329,128.40, 493,498.20 and 171,664.40

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Solution

The fourth proportional to 329,128.40, 493,498.20 and 171,664.40 is: 257,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,128.40 : 493,498.20 = 171,664.40 : x
  2. Step 2: Convert to fraction form
    329,128.40/493,498.20 = 171,664.40/x
  3. Step 3: Cross multiply
    329,128.40x = 493,498.20 × 171,664.40
  4. Step 4: Simplify right side
    329,128.40x = 84,716,072,404.08
  5. Step 5: Solve for x
    x = 84,716,072,404.08/329,128.40
  6. Step 6: Final answer
    x = 257,395.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.