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Finding the Fourth Proportional to 421,324.38, 581,429.70 and 230,337.78

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Solution

The fourth proportional to 421,324.38, 581,429.70 and 230,337.78 is: 317,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,324.38 : 581,429.70 = 230,337.78 : x
  2. Step 2: Convert to fraction form
    421,324.38/581,429.70 = 230,337.78/x
  3. Step 3: Cross multiply
    421,324.38x = 581,429.70 × 230,337.78
  4. Step 4: Simplify right side
    421,324.38x = 133,925,226,324.07
  5. Step 5: Solve for x
    x = 133,925,226,324.07/421,324.38
  6. Step 6: Final answer
    x = 317,867.26

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1.5x scale

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.