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Finding the Fourth Proportional to 464,047, 640,693.74 and 356,425

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Solution

The fourth proportional to 464,047, 640,693.74 and 356,425 is: 492,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,047 : 640,693.74 = 356,425 : x
  2. Step 2: Convert to fraction form
    464,047/640,693.74 = 356,425/x
  3. Step 3: Cross multiply
    464,047x = 640,693.74 × 356,425
  4. Step 4: Simplify right side
    464,047x = 228,359,266,279.50
  5. Step 5: Solve for x
    x = 228,359,266,279.50/464,047
  6. Step 6: Final answer
    x = 492,103.74

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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.