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Finding the Fourth Proportional to 347,071.24, 520,687.05 and 147,398.14

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Solution

The fourth proportional to 347,071.24, 520,687.05 and 147,398.14 is: 221,131.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,071.24 : 520,687.05 = 147,398.14 : x
  2. Step 2: Convert to fraction form
    347,071.24/520,687.05 = 147,398.14/x
  3. Step 3: Cross multiply
    347,071.24x = 520,687.05 × 147,398.14
  4. Step 4: Simplify right side
    347,071.24x = 76,748,302,692.09
  5. Step 5: Solve for x
    x = 76,748,302,692.09/347,071.24
  6. Step 6: Final answer
    x = 221,131.27

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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.