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Finding the Fourth Proportional to 464,176, 640,772.72 and 292,346.50

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Solution

The fourth proportional to 464,176, 640,772.72 and 292,346.50 is: 403,570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,176 : 640,772.72 = 292,346.50 : x
  2. Step 2: Convert to fraction form
    464,176/640,772.72 = 292,346.50/x
  3. Step 3: Cross multiply
    464,176x = 640,772.72 × 292,346.50
  4. Step 4: Simplify right side
    464,176x = 187,327,661,987.48
  5. Step 5: Solve for x
    x = 187,327,661,987.48/464,176
  6. Step 6: Final answer
    x = 403,570.33

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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.