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Finding the Fourth Proportional to 339,666.98, 509,511.81 and 152,679.02

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Solution

The fourth proportional to 339,666.98, 509,511.81 and 152,679.02 is: 229,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,666.98 : 509,511.81 = 152,679.02 : x
  2. Step 2: Convert to fraction form
    339,666.98/509,511.81 = 152,679.02/x
  3. Step 3: Cross multiply
    339,666.98x = 509,511.81 × 152,679.02
  4. Step 4: Simplify right side
    339,666.98x = 77,791,763,829.23
  5. Step 5: Solve for x
    x = 77,791,763,829.23/339,666.98
  6. Step 6: Final answer
    x = 229,023.63

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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.