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Finding the Fourth Proportional to 309,726.90, 464,007.15 and 159,455.70

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Solution

The fourth proportional to 309,726.90, 464,007.15 and 159,455.70 is: 238,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,726.90 : 464,007.15 = 159,455.70 : x
  2. Step 2: Convert to fraction form
    309,726.90/464,007.15 = 159,455.70/x
  3. Step 3: Cross multiply
    309,726.90x = 464,007.15 × 159,455.70
  4. Step 4: Simplify right side
    309,726.90x = 73,988,584,908.26
  5. Step 5: Solve for x
    x = 73,988,584,908.26/309,726.90
  6. Step 6: Final answer
    x = 238,883.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.