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Finding the Fourth Proportional to 339,501.83, 509,250.77 and 86,781.98

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Solution

The fourth proportional to 339,501.83, 509,250.77 and 86,781.98 is: 130,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,501.83 : 509,250.77 = 86,781.98 : x
  2. Step 2: Convert to fraction form
    339,501.83/509,250.77 = 86,781.98/x
  3. Step 3: Cross multiply
    339,501.83x = 509,250.77 × 86,781.98
  4. Step 4: Simplify right side
    339,501.83x = 44,193,791,545.85
  5. Step 5: Solve for x
    x = 44,193,791,545.85/339,501.83
  6. Step 6: Final answer
    x = 130,172.47

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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.