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Finding the Fourth Proportional to 338,894.78, 508,345.82 and 102,239.52

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Solution

The fourth proportional to 338,894.78, 508,345.82 and 102,239.52 is: 153,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,894.78 : 508,345.82 = 102,239.52 : x
  2. Step 2: Convert to fraction form
    338,894.78/508,345.82 = 102,239.52/x
  3. Step 3: Cross multiply
    338,894.78x = 508,345.82 × 102,239.52
  4. Step 4: Simplify right side
    338,894.78x = 51,973,032,630.81
  5. Step 5: Solve for x
    x = 51,973,032,630.81/338,894.78
  6. Step 6: Final answer
    x = 153,360.38

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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.