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Finding the Fourth Proportional to 464,420.72, 640,628.42 and 292,065.31

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Solution

The fourth proportional to 464,420.72, 640,628.42 and 292,065.31 is: 402,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,420.72 : 640,628.42 = 292,065.31 : x
  2. Step 2: Convert to fraction form
    464,420.72/640,628.42 = 292,065.31/x
  3. Step 3: Cross multiply
    464,420.72x = 640,628.42 × 292,065.31
  4. Step 4: Simplify right side
    464,420.72x = 187,105,333,418.64
  5. Step 5: Solve for x
    x = 187,105,333,418.64/464,420.72
  6. Step 6: Final answer
    x = 402,878.95

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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.