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Finding the Fourth Proportional to 491,548.89, 678,337.64 and 287,639.01

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Solution

The fourth proportional to 491,548.89, 678,337.64 and 287,639.01 is: 396,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,548.89 : 678,337.64 = 287,639.01 : x
  2. Step 2: Convert to fraction form
    491,548.89/678,337.64 = 287,639.01/x
  3. Step 3: Cross multiply
    491,548.89x = 678,337.64 × 287,639.01
  4. Step 4: Simplify right side
    491,548.89x = 195,116,365,777.14
  5. Step 5: Solve for x
    x = 195,116,365,777.14/491,548.89
  6. Step 6: Final answer
    x = 396,941.93

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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.