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Finding the Fourth Proportional to 338,205.78, 507,386.43 and 101,552.94

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Solution

The fourth proportional to 338,205.78, 507,386.43 and 101,552.94 is: 152,352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,205.78 : 507,386.43 = 101,552.94 : x
  2. Step 2: Convert to fraction form
    338,205.78/507,386.43 = 101,552.94/x
  3. Step 3: Cross multiply
    338,205.78x = 507,386.43 × 101,552.94
  4. Step 4: Simplify right side
    338,205.78x = 51,526,583,682.60
  5. Step 5: Solve for x
    x = 51,526,583,682.60/338,205.78
  6. Step 6: Final answer
    x = 152,352.76

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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.