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Finding the Fourth Proportional to 702,693.47, 969,708.95 and 380,396.50

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Solution

The fourth proportional to 702,693.47, 969,708.95 and 380,396.50 is: 524,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,693.47 : 969,708.95 = 380,396.50 : x
  2. Step 2: Convert to fraction form
    702,693.47/969,708.95 = 380,396.50/x
  3. Step 3: Cross multiply
    702,693.47x = 969,708.95 × 380,396.50
  4. Step 4: Simplify right side
    702,693.47x = 368,873,887,698.91
  5. Step 5: Solve for x
    x = 368,873,887,698.91/702,693.47
  6. Step 6: Final answer
    x = 524,942.81

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1.5x scale

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.