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Finding the Fourth Proportional to 340,679.88, 511,471.98 and 291,078.72

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Solution

The fourth proportional to 340,679.88, 511,471.98 and 291,078.72 is: 437,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,679.88 : 511,471.98 = 291,078.72 : x
  2. Step 2: Convert to fraction form
    340,679.88/511,471.98 = 291,078.72/x
  3. Step 3: Cross multiply
    340,679.88x = 511,471.98 × 291,078.72
  4. Step 4: Simplify right side
    340,679.88x = 148,878,609,254.27
  5. Step 5: Solve for x
    x = 148,878,609,254.27/340,679.88
  6. Step 6: Final answer
    x = 437,004.41

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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.