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Finding the Fourth Proportional to 368,101.84, 507,979.92 and 206,957.20

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Solution

The fourth proportional to 368,101.84, 507,979.92 and 206,957.20 is: 285,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,101.84 : 507,979.92 = 206,957.20 : x
  2. Step 2: Convert to fraction form
    368,101.84/507,979.92 = 206,957.20/x
  3. Step 3: Cross multiply
    368,101.84x = 507,979.92 × 206,957.20
  4. Step 4: Simplify right side
    368,101.84x = 105,130,101,899.42
  5. Step 5: Solve for x
    x = 105,130,101,899.42/368,101.84
  6. Step 6: Final answer
    x = 285,600.59

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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.