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Finding the Fourth Proportional to 304,933, 420,807.54 and 185,701

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Solution

The fourth proportional to 304,933, 420,807.54 and 185,701 is: 256,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,933 : 420,807.54 = 185,701 : x
  2. Step 2: Convert to fraction form
    304,933/420,807.54 = 185,701/x
  3. Step 3: Cross multiply
    304,933x = 420,807.54 × 185,701
  4. Step 4: Simplify right side
    304,933x = 78,144,380,985.54
  5. Step 5: Solve for x
    x = 78,144,380,985.54/304,933
  6. Step 6: Final answer
    x = 256,267.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.