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Finding the Fourth Proportional to 338,394.78, 507,590.82 and 151,275.06

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Solution

The fourth proportional to 338,394.78, 507,590.82 and 151,275.06 is: 226,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,394.78 : 507,590.82 = 151,275.06 : x
  2. Step 2: Convert to fraction form
    338,394.78/507,590.82 = 151,275.06/x
  3. Step 3: Cross multiply
    338,394.78x = 507,590.82 × 151,275.06
  4. Step 4: Simplify right side
    338,394.78x = 76,785,831,750.95
  5. Step 5: Solve for x
    x = 76,785,831,750.95/338,394.78
  6. Step 6: Final answer
    x = 226,911.99

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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.