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Finding the Fourth Proportional to 347,345.20, 520,745.64 and 137,140.48

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Solution

The fourth proportional to 347,345.20, 520,745.64 and 137,140.48 is: 205,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,345.20 : 520,745.64 = 137,140.48 : x
  2. Step 2: Convert to fraction form
    347,345.20/520,745.64 = 137,140.48/x
  3. Step 3: Cross multiply
    347,345.20x = 520,745.64 × 137,140.48
  4. Step 4: Simplify right side
    347,345.20x = 71,415,307,027.51
  5. Step 5: Solve for x
    x = 71,415,307,027.51/347,345.20
  6. Step 6: Final answer
    x = 205,603.26

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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.