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Finding the Fourth Proportional to 510,995.34, 766,495.91 and 131,890.16

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Solution

The fourth proportional to 510,995.34, 766,495.91 and 131,890.16 is: 197,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,995.34 : 766,495.91 = 131,890.16 : x
  2. Step 2: Convert to fraction form
    510,995.34/766,495.91 = 131,890.16/x
  3. Step 3: Cross multiply
    510,995.34x = 766,495.91 × 131,890.16
  4. Step 4: Simplify right side
    510,995.34x = 101,093,264,706.49
  5. Step 5: Solve for x
    x = 101,093,264,706.49/510,995.34
  6. Step 6: Final answer
    x = 197,835.98

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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.