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Finding the Fourth Proportional to 340,809.78, 511,058.16 and 116,078.78

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Solution

The fourth proportional to 340,809.78, 511,058.16 and 116,078.78 is: 174,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,809.78 : 511,058.16 = 116,078.78 : x
  2. Step 2: Convert to fraction form
    340,809.78/511,058.16 = 116,078.78/x
  3. Step 3: Cross multiply
    340,809.78x = 511,058.16 × 116,078.78
  4. Step 4: Simplify right side
    340,809.78x = 59,323,009,718.17
  5. Step 5: Solve for x
    x = 59,323,009,718.17/340,809.78
  6. Step 6: Final answer
    x = 174,064.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.