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Finding the Fourth Proportional to 471,398.56, 651,291.10 and 328,795.22

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Solution

The fourth proportional to 471,398.56, 651,291.10 and 328,795.22 is: 454,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,398.56 : 651,291.10 = 328,795.22 : x
  2. Step 2: Convert to fraction form
    471,398.56/651,291.10 = 328,795.22/x
  3. Step 3: Cross multiply
    471,398.56x = 651,291.10 × 328,795.22
  4. Step 4: Simplify right side
    471,398.56x = 214,141,400,508.54
  5. Step 5: Solve for x
    x = 214,141,400,508.54/471,398.56
  6. Step 6: Final answer
    x = 454,268.25

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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.