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Finding the Fourth Proportional to 286,062.14, 394,784.20 and 158,737.74

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Solution

The fourth proportional to 286,062.14, 394,784.20 and 158,737.74 is: 219,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,062.14 : 394,784.20 = 158,737.74 : x
  2. Step 2: Convert to fraction form
    286,062.14/394,784.20 = 158,737.74/x
  3. Step 3: Cross multiply
    286,062.14x = 394,784.20 × 158,737.74
  4. Step 4: Simplify right side
    286,062.14x = 62,667,151,695.71
  5. Step 5: Solve for x
    x = 62,667,151,695.71/286,062.14
  6. Step 6: Final answer
    x = 219,068.32

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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.