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Finding the Fourth Proportional to 665,002, 917,708.59 and 378,540.51

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Solution

The fourth proportional to 665,002, 917,708.59 and 378,540.51 is: 522,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,002 : 917,708.59 = 378,540.51 : x
  2. Step 2: Convert to fraction form
    665,002/917,708.59 = 378,540.51/x
  3. Step 3: Cross multiply
    665,002x = 917,708.59 × 378,540.51
  4. Step 4: Simplify right side
    665,002x = 347,389,877,689.98
  5. Step 5: Solve for x
    x = 347,389,877,689.98/665,002
  6. Step 6: Final answer
    x = 522,389.22

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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.