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Finding the Fourth Proportional to 338,070.52, 507,211.89 and 203,289.76

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Solution

The fourth proportional to 338,070.52, 507,211.89 and 203,289.76 is: 304,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,070.52 : 507,211.89 = 203,289.76 : x
  2. Step 2: Convert to fraction form
    338,070.52/507,211.89 = 203,289.76/x
  3. Step 3: Cross multiply
    338,070.52x = 507,211.89 × 203,289.76
  4. Step 4: Simplify right side
    338,070.52x = 103,110,983,387.25
  5. Step 5: Solve for x
    x = 103,110,983,387.25/338,070.52
  6. Step 6: Final answer
    x = 304,998.45

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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.