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Finding the Fourth Proportional to 594,765, 820,231.20 and 390,735

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Solution

The fourth proportional to 594,765, 820,231.20 and 390,735 is: 538,856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,765 : 820,231.20 = 390,735 : x
  2. Step 2: Convert to fraction form
    594,765/820,231.20 = 390,735/x
  3. Step 3: Cross multiply
    594,765x = 820,231.20 × 390,735
  4. Step 4: Simplify right side
    594,765x = 320,493,037,932
  5. Step 5: Solve for x
    x = 320,493,037,932/594,765
  6. Step 6: Final answer
    x = 538,856.59

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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.