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Finding the Fourth Proportional to 686,641.86, 947,663.81 and 380,786.26

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Solution

The fourth proportional to 686,641.86, 947,663.81 and 380,786.26 is: 525,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,641.86 : 947,663.81 = 380,786.26 : x
  2. Step 2: Convert to fraction form
    686,641.86/947,663.81 = 380,786.26/x
  3. Step 3: Cross multiply
    686,641.86x = 947,663.81 × 380,786.26
  4. Step 4: Simplify right side
    686,641.86x = 360,857,357,947.25
  5. Step 5: Solve for x
    x = 360,857,357,947.25/686,641.86
  6. Step 6: Final answer
    x = 525,539.41

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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.