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Finding the Fourth Proportional to 464,175, 640,771.34 and 292,345.50

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Solution

The fourth proportional to 464,175, 640,771.34 and 292,345.50 is: 403,568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,175 : 640,771.34 = 292,345.50 : x
  2. Step 2: Convert to fraction form
    464,175/640,771.34 = 292,345.50/x
  3. Step 3: Cross multiply
    464,175x = 640,771.34 × 292,345.50
  4. Step 4: Simplify right side
    464,175x = 187,326,616,316.24
  5. Step 5: Solve for x
    x = 187,326,616,316.24/464,175
  6. Step 6: Final answer
    x = 403,568.95

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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.