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Finding the Fourth Proportional to 686,699.97, 947,641.10 and 380,776.20

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Solution

The fourth proportional to 686,699.97, 947,641.10 and 380,776.20 is: 525,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,699.97 : 947,641.10 = 380,776.20 : x
  2. Step 2: Convert to fraction form
    686,699.97/947,641.10 = 380,776.20/x
  3. Step 3: Cross multiply
    686,699.97x = 947,641.10 × 380,776.20
  4. Step 4: Simplify right side
    686,699.97x = 360,839,177,021.82
  5. Step 5: Solve for x
    x = 360,839,177,021.82/686,699.97
  6. Step 6: Final answer
    x = 525,468.46

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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.