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Finding the Fourth Proportional to 347,749.60, 521,494.80 and 123,023.20

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Solution

The fourth proportional to 347,749.60, 521,494.80 and 123,023.20 is: 184,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,749.60 : 521,494.80 = 123,023.20 : x
  2. Step 2: Convert to fraction form
    347,749.60/521,494.80 = 123,023.20/x
  3. Step 3: Cross multiply
    347,749.60x = 521,494.80 × 123,023.20
  4. Step 4: Simplify right side
    347,749.60x = 64,155,959,079.36
  5. Step 5: Solve for x
    x = 64,155,959,079.36/347,749.60
  6. Step 6: Final answer
    x = 184,488.95

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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.