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Finding the Fourth Proportional to 335,953, 503,929.50 and 138,961

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Solution

The fourth proportional to 335,953, 503,929.50 and 138,961 is: 208,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,953 : 503,929.50 = 138,961 : x
  2. Step 2: Convert to fraction form
    335,953/503,929.50 = 138,961/x
  3. Step 3: Cross multiply
    335,953x = 503,929.50 × 138,961
  4. Step 4: Simplify right side
    335,953x = 70,026,547,249.50
  5. Step 5: Solve for x
    x = 70,026,547,249.50/335,953
  6. Step 6: Final answer
    x = 208,441.50

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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.