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Finding the Fourth Proportional to 691,756.40, 954,478.66 and 419,967.40

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Solution

The fourth proportional to 691,756.40, 954,478.66 and 419,967.40 is: 579,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,756.40 : 954,478.66 = 419,967.40 : x
  2. Step 2: Convert to fraction form
    691,756.40/954,478.66 = 419,967.40/x
  3. Step 3: Cross multiply
    691,756.40x = 954,478.66 × 419,967.40
  4. Step 4: Simplify right side
    691,756.40x = 400,849,921,195.68
  5. Step 5: Solve for x
    x = 400,849,921,195.68/691,756.40
  6. Step 6: Final answer
    x = 579,466.88

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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.