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Finding the Fourth Proportional to 702,412.83, 969,332.67 and 380,122.92

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Solution

The fourth proportional to 702,412.83, 969,332.67 and 380,122.92 is: 524,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,412.83 : 969,332.67 = 380,122.92 : x
  2. Step 2: Convert to fraction form
    702,412.83/969,332.67 = 380,122.92/x
  3. Step 3: Cross multiply
    702,412.83x = 969,332.67 × 380,122.92
  4. Step 4: Simplify right side
    702,412.83x = 368,465,564,971.80
  5. Step 5: Solve for x
    x = 368,465,564,971.80/702,412.83
  6. Step 6: Final answer
    x = 524,571.23

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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.