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Finding the Fourth Proportional to 464,044, 640,689.60 and 356,422

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Solution

The fourth proportional to 464,044, 640,689.60 and 356,422 is: 492,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,044 : 640,689.60 = 356,422 : x
  2. Step 2: Convert to fraction form
    464,044/640,689.60 = 356,422/x
  3. Step 3: Cross multiply
    464,044x = 640,689.60 × 356,422
  4. Step 4: Simplify right side
    464,044x = 228,355,868,611.20
  5. Step 5: Solve for x
    x = 228,355,868,611.20/464,044
  6. Step 6: Final answer
    x = 492,099.60

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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.