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Finding the Fourth Proportional to 279,772.16, 386,080.72 and 152,448.80

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Solution

The fourth proportional to 279,772.16, 386,080.72 and 152,448.80 is: 210,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,772.16 : 386,080.72 = 152,448.80 : x
  2. Step 2: Convert to fraction form
    279,772.16/386,080.72 = 152,448.80/x
  3. Step 3: Cross multiply
    279,772.16x = 386,080.72 × 152,448.80
  4. Step 4: Simplify right side
    279,772.16x = 58,857,542,467.14
  5. Step 5: Solve for x
    x = 58,857,542,467.14/279,772.16
  6. Step 6: Final answer
    x = 210,376.70

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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.