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Finding the Fourth Proportional to 665,107.47, 917,576.64 and 491,094.72

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Solution

The fourth proportional to 665,107.47, 917,576.64 and 491,094.72 is: 677,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,107.47 : 917,576.64 = 491,094.72 : x
  2. Step 2: Convert to fraction form
    665,107.47/917,576.64 = 491,094.72/x
  3. Step 3: Cross multiply
    665,107.47x = 917,576.64 × 491,094.72
  4. Step 4: Simplify right side
    665,107.47x = 450,617,043,099.34
  5. Step 5: Solve for x
    x = 450,617,043,099.34/665,107.47
  6. Step 6: Final answer
    x = 677,510.12

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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.