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Finding the Fourth Proportional to 304,930, 420,803.40 and 185,698

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Solution

The fourth proportional to 304,930, 420,803.40 and 185,698 is: 256,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,930 : 420,803.40 = 185,698 : x
  2. Step 2: Convert to fraction form
    304,930/420,803.40 = 185,698/x
  3. Step 3: Cross multiply
    304,930x = 420,803.40 × 185,698
  4. Step 4: Simplify right side
    304,930x = 78,142,349,773.20
  5. Step 5: Solve for x
    x = 78,142,349,773.20/304,930
  6. Step 6: Final answer
    x = 256,263.24

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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.