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Finding the Fourth Proportional to 665,142.72, 917,862.48 and 378,661.92

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Solution

The fourth proportional to 665,142.72, 917,862.48 and 378,661.92 is: 522,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,142.72 : 917,862.48 = 378,661.92 : x
  2. Step 2: Convert to fraction form
    665,142.72/917,862.48 = 378,661.92/x
  3. Step 3: Cross multiply
    665,142.72x = 917,862.48 × 378,661.92
  4. Step 4: Simplify right side
    665,142.72x = 347,559,568,972.76
  5. Step 5: Solve for x
    x = 347,559,568,972.76/665,142.72
  6. Step 6: Final answer
    x = 522,533.82

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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.