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Finding the Fourth Proportional to 471,965.36, 651,304.68 and 257,108

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Solution

The fourth proportional to 471,965.36, 651,304.68 and 257,108 is: 354,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,965.36 : 651,304.68 = 257,108 : x
  2. Step 2: Convert to fraction form
    471,965.36/651,304.68 = 257,108/x
  3. Step 3: Cross multiply
    471,965.36x = 651,304.68 × 257,108
  4. Step 4: Simplify right side
    471,965.36x = 167,455,643,665.44
  5. Step 5: Solve for x
    x = 167,455,643,665.44/471,965.36
  6. Step 6: Final answer
    x = 354,804.95

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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.