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Finding the Fourth Proportional to 338,177.42, 507,339.84 and 101,538.55

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Solution

The fourth proportional to 338,177.42, 507,339.84 and 101,538.55 is: 152,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,177.42 : 507,339.84 = 101,538.55 : x
  2. Step 2: Convert to fraction form
    338,177.42/507,339.84 = 101,538.55/x
  3. Step 3: Cross multiply
    338,177.42x = 507,339.84 × 101,538.55
  4. Step 4: Simplify right side
    338,177.42x = 51,514,551,710.83
  5. Step 5: Solve for x
    x = 51,514,551,710.83/338,177.42
  6. Step 6: Final answer
    x = 152,329.96

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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.