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Finding the Fourth Proportional to 390,134, 538,428.75 and 220,379.06

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Solution

The fourth proportional to 390,134, 538,428.75 and 220,379.06 is: 304,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,134 : 538,428.75 = 220,379.06 : x
  2. Step 2: Convert to fraction form
    390,134/538,428.75 = 220,379.06/x
  3. Step 3: Cross multiply
    390,134x = 538,428.75 × 220,379.06
  4. Step 4: Simplify right side
    390,134x = 118,658,421,801.98
  5. Step 5: Solve for x
    x = 118,658,421,801.98/390,134
  6. Step 6: Final answer
    x = 304,147.86

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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.