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Finding the Fourth Proportional to 666,961.78, 920,407.74 and 361,037.20

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Solution

The fourth proportional to 666,961.78, 920,407.74 and 361,037.20 is: 498,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,961.78 : 920,407.74 = 361,037.20 : x
  2. Step 2: Convert to fraction form
    666,961.78/920,407.74 = 361,037.20/x
  3. Step 3: Cross multiply
    666,961.78x = 920,407.74 × 361,037.20
  4. Step 4: Simplify right side
    666,961.78x = 332,301,433,307.93
  5. Step 5: Solve for x
    x = 332,301,433,307.93/666,961.78
  6. Step 6: Final answer
    x = 498,231.60

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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.