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Finding the Fourth Proportional to 338,871.54, 508,291.92 and 149,281.24

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Solution

The fourth proportional to 338,871.54, 508,291.92 and 149,281.24 is: 223,915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,871.54 : 508,291.92 = 149,281.24 : x
  2. Step 2: Convert to fraction form
    338,871.54/508,291.92 = 149,281.24/x
  3. Step 3: Cross multiply
    338,871.54x = 508,291.92 × 149,281.24
  4. Step 4: Simplify right side
    338,871.54x = 75,878,448,099.58
  5. Step 5: Solve for x
    x = 75,878,448,099.58/338,871.54
  6. Step 6: Final answer
    x = 223,915.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.