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Finding the Fourth Proportional to 384,313.49, 530,494.14 and 231,358.79

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Solution

The fourth proportional to 384,313.49, 530,494.14 and 231,358.79 is: 319,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,313.49 : 530,494.14 = 231,358.79 : x
  2. Step 2: Convert to fraction form
    384,313.49/530,494.14 = 231,358.79/x
  3. Step 3: Cross multiply
    384,313.49x = 530,494.14 × 231,358.79
  4. Step 4: Simplify right side
    384,313.49x = 122,734,484,526.32
  5. Step 5: Solve for x
    x = 122,734,484,526.32/384,313.49
  6. Step 6: Final answer
    x = 319,360.34

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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.