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Finding the Fourth Proportional to 421,494.54, 581,650.67 and 230,503.83

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Solution

The fourth proportional to 421,494.54, 581,650.67 and 230,503.83 is: 318,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,494.54 : 581,650.67 = 230,503.83 : x
  2. Step 2: Convert to fraction form
    421,494.54/581,650.67 = 230,503.83/x
  3. Step 3: Cross multiply
    421,494.54x = 581,650.67 × 230,503.83
  4. Step 4: Simplify right side
    421,494.54x = 134,072,706,004.55
  5. Step 5: Solve for x
    x = 134,072,706,004.55/421,494.54
  6. Step 6: Final answer
    x = 318,088.83

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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.