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Finding the Fourth Proportional to 421,524.16, 581,695.20 and 230,536.96

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Solution

The fourth proportional to 421,524.16, 581,695.20 and 230,536.96 is: 318,136.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,524.16 : 581,695.20 = 230,536.96 : x
  2. Step 2: Convert to fraction form
    421,524.16/581,695.20 = 230,536.96/x
  3. Step 3: Cross multiply
    421,524.16x = 581,695.20 × 230,536.96
  4. Step 4: Simplify right side
    421,524.16x = 134,102,243,054.59
  5. Step 5: Solve for x
    x = 134,102,243,054.59/421,524.16
  6. Step 6: Final answer
    x = 318,136.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.