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Finding the Fourth Proportional to 686,634, 947,610.72 and 380,740.80

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Solution

The fourth proportional to 686,634, 947,610.72 and 380,740.80 is: 525,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,634 : 947,610.72 = 380,740.80 : x
  2. Step 2: Convert to fraction form
    686,634/947,610.72 = 380,740.80/x
  3. Step 3: Cross multiply
    686,634x = 947,610.72 × 380,740.80
  4. Step 4: Simplify right side
    686,634x = 360,794,063,621.38
  5. Step 5: Solve for x
    x = 360,794,063,621.38/686,634
  6. Step 6: Final answer
    x = 525,453.25

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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.