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Finding the Fourth Proportional to 304,929, 420,802.02 and 185,697

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Solution

The fourth proportional to 304,929, 420,802.02 and 185,697 is: 256,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,929 : 420,802.02 = 185,697 : x
  2. Step 2: Convert to fraction form
    304,929/420,802.02 = 185,697/x
  3. Step 3: Cross multiply
    304,929x = 420,802.02 × 185,697
  4. Step 4: Simplify right side
    304,929x = 78,141,672,707.94
  5. Step 5: Solve for x
    x = 78,141,672,707.94/304,929
  6. Step 6: Final answer
    x = 256,261.86

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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.