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Finding the Fourth Proportional to 281,458.73, 388,405.83 and 157,280.74

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Solution

The fourth proportional to 281,458.73, 388,405.83 and 157,280.74 is: 217,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,458.73 : 388,405.83 = 157,280.74 : x
  2. Step 2: Convert to fraction form
    281,458.73/388,405.83 = 157,280.74/x
  3. Step 3: Cross multiply
    281,458.73x = 388,405.83 × 157,280.74
  4. Step 4: Simplify right side
    281,458.73x = 61,088,755,981.50
  5. Step 5: Solve for x
    x = 61,088,755,981.50/281,458.73
  6. Step 6: Final answer
    x = 217,043.38

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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.