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Finding the Fourth Proportional to 380,309.76, 524,807.49 and 208,194.74

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Solution

The fourth proportional to 380,309.76, 524,807.49 and 208,194.74 is: 287,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,309.76 : 524,807.49 = 208,194.74 : x
  2. Step 2: Convert to fraction form
    380,309.76/524,807.49 = 208,194.74/x
  3. Step 3: Cross multiply
    380,309.76x = 524,807.49 × 208,194.74
  4. Step 4: Simplify right side
    380,309.76x = 109,262,161,023.35
  5. Step 5: Solve for x
    x = 109,262,161,023.35/380,309.76
  6. Step 6: Final answer
    x = 287,297.81

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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.