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Finding the Fourth Proportional to 208,859.71, 288,376.20 and 128,395.12

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Solution

The fourth proportional to 208,859.71, 288,376.20 and 128,395.12 is: 177,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,859.71 : 288,376.20 = 128,395.12 : x
  2. Step 2: Convert to fraction form
    208,859.71/288,376.20 = 128,395.12/x
  3. Step 3: Cross multiply
    208,859.71x = 288,376.20 × 128,395.12
  4. Step 4: Simplify right side
    208,859.71x = 37,026,096,804.14
  5. Step 5: Solve for x
    x = 37,026,096,804.14/208,859.71
  6. Step 6: Final answer
    x = 177,277.35

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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.