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Finding the Fourth Proportional to 464,388.63, 640,926.36 and 283,205.66

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Solution

The fourth proportional to 464,388.63, 640,926.36 and 283,205.66 is: 390,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,388.63 : 640,926.36 = 283,205.66 : x
  2. Step 2: Convert to fraction form
    464,388.63/640,926.36 = 283,205.66/x
  3. Step 3: Cross multiply
    464,388.63x = 640,926.36 × 283,205.66
  4. Step 4: Simplify right side
    464,388.63x = 181,513,976,732.89
  5. Step 5: Solve for x
    x = 181,513,976,732.89/464,388.63
  6. Step 6: Final answer
    x = 390,866.54

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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.