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Finding the Fourth Proportional to 286,008.48, 394,710.24 and 158,698.08

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Solution

The fourth proportional to 286,008.48, 394,710.24 and 158,698.08 is: 219,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,008.48 : 394,710.24 = 158,698.08 : x
  2. Step 2: Convert to fraction form
    286,008.48/394,710.24 = 158,698.08/x
  3. Step 3: Cross multiply
    286,008.48x = 394,710.24 × 158,698.08
  4. Step 4: Simplify right side
    286,008.48x = 62,639,757,244.34
  5. Step 5: Solve for x
    x = 62,639,757,244.34/286,008.48
  6. Step 6: Final answer
    x = 219,013.64

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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.