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Finding the Fourth Proportional to 421,769.71, 581,674.22 and 299,019.58

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Solution

The fourth proportional to 421,769.71, 581,674.22 and 299,019.58 is: 412,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,769.71 : 581,674.22 = 299,019.58 : x
  2. Step 2: Convert to fraction form
    421,769.71/581,674.22 = 299,019.58/x
  3. Step 3: Cross multiply
    421,769.71x = 581,674.22 × 299,019.58
  4. Step 4: Simplify right side
    421,769.71x = 173,931,978,011.94
  5. Step 5: Solve for x
    x = 173,931,978,011.94/421,769.71
  6. Step 6: Final answer
    x = 412,386.13

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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.