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Finding the Fourth Proportional to 286,146.77, 394,892.28 and 157,095.54

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Solution

The fourth proportional to 286,146.77, 394,892.28 and 157,095.54 is: 216,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,146.77 : 394,892.28 = 157,095.54 : x
  2. Step 2: Convert to fraction form
    286,146.77/394,892.28 = 157,095.54/x
  3. Step 3: Cross multiply
    286,146.77x = 394,892.28 × 157,095.54
  4. Step 4: Simplify right side
    286,146.77x = 62,035,815,968.43
  5. Step 5: Solve for x
    x = 62,035,815,968.43/286,146.77
  6. Step 6: Final answer
    x = 216,797.19

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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.