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Finding the Fourth Proportional to 208,326.18, 287,410.86 and 154,008.78

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Solution

The fourth proportional to 208,326.18, 287,410.86 and 154,008.78 is: 212,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,326.18 : 287,410.86 = 154,008.78 : x
  2. Step 2: Convert to fraction form
    208,326.18/287,410.86 = 154,008.78/x
  3. Step 3: Cross multiply
    208,326.18x = 287,410.86 × 154,008.78
  4. Step 4: Simplify right side
    208,326.18x = 44,263,795,907.35
  5. Step 5: Solve for x
    x = 44,263,795,907.35/208,326.18
  6. Step 6: Final answer
    x = 212,473.52

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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.