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Finding the Fourth Proportional to 280,136, 386,477.48 and 172,519.20

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Solution

The fourth proportional to 280,136, 386,477.48 and 172,519.20 is: 238,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,136 : 386,477.48 = 172,519.20 : x
  2. Step 2: Convert to fraction form
    280,136/386,477.48 = 172,519.20/x
  3. Step 3: Cross multiply
    280,136x = 386,477.48 × 172,519.20
  4. Step 4: Simplify right side
    280,136x = 66,674,785,667.62
  5. Step 5: Solve for x
    x = 66,674,785,667.62/280,136
  6. Step 6: Final answer
    x = 238,008.63

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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.