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Finding the Fourth Proportional to 458,249.40, 687,420.72 and 158,729.40

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Solution

The fourth proportional to 458,249.40, 687,420.72 and 158,729.40 is: 238,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,249.40 : 687,420.72 = 158,729.40 : x
  2. Step 2: Convert to fraction form
    458,249.40/687,420.72 = 158,729.40/x
  3. Step 3: Cross multiply
    458,249.40x = 687,420.72 × 158,729.40
  4. Step 4: Simplify right side
    458,249.40x = 109,113,878,433.17
  5. Step 5: Solve for x
    x = 109,113,878,433.17/458,249.40
  6. Step 6: Final answer
    x = 238,110.25

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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.