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Finding the Fourth Proportional to 399,143.51, 598,715.21 and 146,328.44

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Solution

The fourth proportional to 399,143.51, 598,715.21 and 146,328.44 is: 219,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,143.51 : 598,715.21 = 146,328.44 : x
  2. Step 2: Convert to fraction form
    399,143.51/598,715.21 = 146,328.44/x
  3. Step 3: Cross multiply
    399,143.51x = 598,715.21 × 146,328.44
  4. Step 4: Simplify right side
    399,143.51x = 87,609,058,958.35
  5. Step 5: Solve for x
    x = 87,609,058,958.35/399,143.51
  6. Step 6: Final answer
    x = 219,492.63

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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.