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Finding the Fourth Proportional to 702,389.88, 969,294.33 and 380,099.79

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Solution

The fourth proportional to 702,389.88, 969,294.33 and 380,099.79 is: 524,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,389.88 : 969,294.33 = 380,099.79 : x
  2. Step 2: Convert to fraction form
    702,389.88/969,294.33 = 380,099.79/x
  3. Step 3: Cross multiply
    702,389.88x = 969,294.33 × 380,099.79
  4. Step 4: Simplify right side
    702,389.88x = 368,428,571,281.19
  5. Step 5: Solve for x
    x = 368,428,571,281.19/702,389.88
  6. Step 6: Final answer
    x = 524,535.71

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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.