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Finding the Fourth Proportional to 512,258.61, 767,741.94 and 259,602.60

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Solution

The fourth proportional to 512,258.61, 767,741.94 and 259,602.60 is: 389,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,258.61 : 767,741.94 = 259,602.60 : x
  2. Step 2: Convert to fraction form
    512,258.61/767,741.94 = 259,602.60/x
  3. Step 3: Cross multiply
    512,258.61x = 767,741.94 × 259,602.60
  4. Step 4: Simplify right side
    512,258.61x = 199,307,803,753.04
  5. Step 5: Solve for x
    x = 199,307,803,753.04/512,258.61
  6. Step 6: Final answer
    x = 389,076.53

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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.