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Finding the Fourth Proportional to 702,782.28, 969,838.14 and 380,492.56

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Solution

The fourth proportional to 702,782.28, 969,838.14 and 380,492.56 is: 525,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,782.28 : 969,838.14 = 380,492.56 : x
  2. Step 2: Convert to fraction form
    702,782.28/969,838.14 = 380,492.56/x
  3. Step 3: Cross multiply
    702,782.28x = 969,838.14 × 380,492.56
  4. Step 4: Simplify right side
    702,782.28x = 369,016,196,674.24
  5. Step 5: Solve for x
    x = 369,016,196,674.24/702,782.28
  6. Step 6: Final answer
    x = 525,078.97

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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.