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Finding the Fourth Proportional to 686,521.44, 947,399.42 and 380,597.06

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Solution

The fourth proportional to 686,521.44, 947,399.42 and 380,597.06 is: 525,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,521.44 : 947,399.42 = 380,597.06 : x
  2. Step 2: Convert to fraction form
    686,521.44/947,399.42 = 380,597.06/x
  3. Step 3: Cross multiply
    686,521.44x = 947,399.42 × 380,597.06
  4. Step 4: Simplify right side
    686,521.44x = 360,577,437,217.70
  5. Step 5: Solve for x
    x = 360,577,437,217.70/686,521.44
  6. Step 6: Final answer
    x = 525,223.85

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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.