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Finding the Fourth Proportional to 339,905.97, 509,860.17 and 152,698.77

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Solution

The fourth proportional to 339,905.97, 509,860.17 and 152,698.77 is: 229,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,905.97 : 509,860.17 = 152,698.77 : x
  2. Step 2: Convert to fraction form
    339,905.97/509,860.17 = 152,698.77/x
  3. Step 3: Cross multiply
    339,905.97x = 509,860.17 × 152,698.77
  4. Step 4: Simplify right side
    339,905.97x = 77,855,020,830.99
  5. Step 5: Solve for x
    x = 77,855,020,830.99/339,905.97
  6. Step 6: Final answer
    x = 229,048.70

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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.