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Finding the Fourth Proportional to 421,524.10, 581,711.79 and 230,549.77

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Solution

The fourth proportional to 421,524.10, 581,711.79 and 230,549.77 is: 318,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,524.10 : 581,711.79 = 230,549.77 : x
  2. Step 2: Convert to fraction form
    421,524.10/581,711.79 = 230,549.77/x
  3. Step 3: Cross multiply
    421,524.10x = 581,711.79 × 230,549.77
  4. Step 4: Simplify right side
    421,524.10x = 134,113,519,390.79
  5. Step 5: Solve for x
    x = 134,113,519,390.79/421,524.10
  6. Step 6: Final answer
    x = 318,163.35

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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.