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Finding the Fourth Proportional to 691,770, 954,657.20 and 389,964

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Solution

The fourth proportional to 691,770, 954,657.20 and 389,964 is: 538,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,770 : 954,657.20 = 389,964 : x
  2. Step 2: Convert to fraction form
    691,770/954,657.20 = 389,964/x
  3. Step 3: Cross multiply
    691,770x = 954,657.20 × 389,964
  4. Step 4: Simplify right side
    691,770x = 372,281,940,340.80
  5. Step 5: Solve for x
    x = 372,281,940,340.80/691,770
  6. Step 6: Final answer
    x = 538,158.55

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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.