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Finding the Fourth Proportional to 304,388.10, 420,018.82 and 175,368.78

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Solution

The fourth proportional to 304,388.10, 420,018.82 and 175,368.78 is: 241,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,388.10 : 420,018.82 = 175,368.78 : x
  2. Step 2: Convert to fraction form
    304,388.10/420,018.82 = 175,368.78/x
  3. Step 3: Cross multiply
    304,388.10x = 420,018.82 × 175,368.78
  4. Step 4: Simplify right side
    304,388.10x = 73,658,187,602.02
  5. Step 5: Solve for x
    x = 73,658,187,602.02/304,388.10
  6. Step 6: Final answer
    x = 241,987.74

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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.