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Finding the Fourth Proportional to 471,848, 651,137.12 and 256,983.36

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Solution

The fourth proportional to 471,848, 651,137.12 and 256,983.36 is: 354,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,848 : 651,137.12 = 256,983.36 : x
  2. Step 2: Convert to fraction form
    471,848/651,137.12 = 256,983.36/x
  3. Step 3: Cross multiply
    471,848x = 651,137.12 × 256,983.36
  4. Step 4: Simplify right side
    471,848x = 167,331,404,918.32
  5. Step 5: Solve for x
    x = 167,331,404,918.32/471,848
  6. Step 6: Final answer
    x = 354,629.89

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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.