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Finding the Fourth Proportional to 434,021, 651,384.66 and 223,719.08

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Solution

The fourth proportional to 434,021, 651,384.66 and 223,719.08 is: 335,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,021 : 651,384.66 = 223,719.08 : x
  2. Step 2: Convert to fraction form
    434,021/651,384.66 = 223,719.08/x
  3. Step 3: Cross multiply
    434,021x = 651,384.66 × 223,719.08
  4. Step 4: Simplify right side
    434,021x = 145,727,176,861.31
  5. Step 5: Solve for x
    x = 145,727,176,861.31/434,021
  6. Step 6: Final answer
    x = 335,760.66

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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.