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Finding the Fourth Proportional to 251,459.58, 347,014.32 and 138,282.30

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Solution

The fourth proportional to 251,459.58, 347,014.32 and 138,282.30 is: 190,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,459.58 : 347,014.32 = 138,282.30 : x
  2. Step 2: Convert to fraction form
    251,459.58/347,014.32 = 138,282.30/x
  3. Step 3: Cross multiply
    251,459.58x = 347,014.32 × 138,282.30
  4. Step 4: Simplify right side
    251,459.58x = 47,985,938,302.54
  5. Step 5: Solve for x
    x = 47,985,938,302.54/251,459.58
  6. Step 6: Final answer
    x = 190,829.63

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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.