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Finding the Fourth Proportional to 338,017, 507,032.70 and 127,753.96

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Solution

The fourth proportional to 338,017, 507,032.70 and 127,753.96 is: 191,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,017 : 507,032.70 = 127,753.96 : x
  2. Step 2: Convert to fraction form
    338,017/507,032.70 = 127,753.96/x
  3. Step 3: Cross multiply
    338,017x = 507,032.70 × 127,753.96
  4. Step 4: Simplify right side
    338,017x = 64,775,435,274.49
  5. Step 5: Solve for x
    x = 64,775,435,274.49/338,017
  6. Step 6: Final answer
    x = 191,633.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.