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Finding the Fourth Proportional to 338,601.80, 507,384.30 and 319,939.40

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Solution

The fourth proportional to 338,601.80, 507,384.30 and 319,939.40 is: 479,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,601.80 : 507,384.30 = 319,939.40 : x
  2. Step 2: Convert to fraction form
    338,601.80/507,384.30 = 319,939.40/x
  3. Step 3: Cross multiply
    338,601.80x = 507,384.30 × 319,939.40
  4. Step 4: Simplify right side
    338,601.80x = 162,332,228,511.42
  5. Step 5: Solve for x
    x = 162,332,228,511.42/338,601.80
  6. Step 6: Final answer
    x = 479,419.27

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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.