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Finding the Fourth Proportional to 231,398.78, 319,495.79 and 180,468.41

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Solution

The fourth proportional to 231,398.78, 319,495.79 and 180,468.41 is: 249,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,398.78 : 319,495.79 = 180,468.41 : x
  2. Step 2: Convert to fraction form
    231,398.78/319,495.79 = 180,468.41/x
  3. Step 3: Cross multiply
    231,398.78x = 319,495.79 × 180,468.41
  4. Step 4: Simplify right side
    231,398.78x = 57,658,896,076.69
  5. Step 5: Solve for x
    x = 57,658,896,076.69/231,398.78
  6. Step 6: Final answer
    x = 249,175.46

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1.5x scale

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.