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Finding the Fourth Proportional to 686,612, 947,580.36 and 380,718.80

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Solution

The fourth proportional to 686,612, 947,580.36 and 380,718.80 is: 525,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,612 : 947,580.36 = 380,718.80 : x
  2. Step 2: Convert to fraction form
    686,612/947,580.36 = 380,718.80/x
  3. Step 3: Cross multiply
    686,612x = 947,580.36 × 380,718.80
  4. Step 4: Simplify right side
    686,612x = 360,761,657,562.77
  5. Step 5: Solve for x
    x = 360,761,657,562.77/686,612
  6. Step 6: Final answer
    x = 525,422.88

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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.