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Finding the Fourth Proportional to 438,464.10, 657,647.55 and 122,952.90

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Solution

The fourth proportional to 438,464.10, 657,647.55 and 122,952.90 is: 184,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,464.10 : 657,647.55 = 122,952.90 : x
  2. Step 2: Convert to fraction form
    438,464.10/657,647.55 = 122,952.90/x
  3. Step 3: Cross multiply
    438,464.10x = 657,647.55 × 122,952.90
  4. Step 4: Simplify right side
    438,464.10x = 80,859,673,450.40
  5. Step 5: Solve for x
    x = 80,859,673,450.40/438,464.10
  6. Step 6: Final answer
    x = 184,415.72

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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.