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Finding the Fourth Proportional to 686,732.06, 947,644.02 and 380,797.20

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Solution

The fourth proportional to 686,732.06, 947,644.02 and 380,797.20 is: 525,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,732.06 : 947,644.02 = 380,797.20 : x
  2. Step 2: Convert to fraction form
    686,732.06/947,644.02 = 380,797.20/x
  3. Step 3: Cross multiply
    686,732.06x = 947,644.02 × 380,797.20
  4. Step 4: Simplify right side
    686,732.06x = 360,860,189,412.74
  5. Step 5: Solve for x
    x = 360,860,189,412.74/686,732.06
  6. Step 6: Final answer
    x = 525,474.50

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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.