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Finding the Fourth Proportional to 686,549.72, 947,468.56 and 380,606.64

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Solution

The fourth proportional to 686,549.72, 947,468.56 and 380,606.64 is: 525,253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,549.72 : 947,468.56 = 380,606.64 : x
  2. Step 2: Convert to fraction form
    686,549.72/947,468.56 = 380,606.64/x
  3. Step 3: Cross multiply
    686,549.72x = 947,468.56 × 380,606.64
  4. Step 4: Simplify right side
    686,549.72x = 360,612,825,127.24
  5. Step 5: Solve for x
    x = 360,612,825,127.24/686,549.72
  6. Step 6: Final answer
    x = 525,253.76

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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.