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Finding the Fourth Proportional to 464,591.59, 640,457.75 and 328,385.23

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Solution

The fourth proportional to 464,591.59, 640,457.75 and 328,385.23 is: 452,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,591.59 : 640,457.75 = 328,385.23 : x
  2. Step 2: Convert to fraction form
    464,591.59/640,457.75 = 328,385.23/x
  3. Step 3: Cross multiply
    464,591.59x = 640,457.75 × 328,385.23
  4. Step 4: Simplify right side
    464,591.59x = 210,316,864,758.85
  5. Step 5: Solve for x
    x = 210,316,864,758.85/464,591.59
  6. Step 6: Final answer
    x = 452,691.94

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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.