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Finding the Fourth Proportional to 347,138.52, 520,777.44 and 147,457.32

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Solution

The fourth proportional to 347,138.52, 520,777.44 and 147,457.32 is: 221,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,138.52 : 520,777.44 = 147,457.32 : x
  2. Step 2: Convert to fraction form
    347,138.52/520,777.44 = 147,457.32/x
  3. Step 3: Cross multiply
    347,138.52x = 520,777.44 × 147,457.32
  4. Step 4: Simplify right side
    347,138.52x = 76,792,445,618.86
  5. Step 5: Solve for x
    x = 76,792,445,618.86/347,138.52
  6. Step 6: Final answer
    x = 221,215.57

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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.