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Finding the Fourth Proportional to 310,429.29, 428,427.95 and 172,621.98

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Solution

The fourth proportional to 310,429.29, 428,427.95 and 172,621.98 is: 238,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,429.29 : 428,427.95 = 172,621.98 : x
  2. Step 2: Convert to fraction form
    310,429.29/428,427.95 = 172,621.98/x
  3. Step 3: Cross multiply
    310,429.29x = 428,427.95 × 172,621.98
  4. Step 4: Simplify right side
    310,429.29x = 73,956,081,016.34
  5. Step 5: Solve for x
    x = 73,956,081,016.34/310,429.29
  6. Step 6: Final answer
    x = 238,238.09

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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.