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Finding the Fourth Proportional to 369,752, 510,257.94 and 199,986.08

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Solution

The fourth proportional to 369,752, 510,257.94 and 199,986.08 is: 275,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,752 : 510,257.94 = 199,986.08 : x
  2. Step 2: Convert to fraction form
    369,752/510,257.94 = 199,986.08/x
  3. Step 3: Cross multiply
    369,752x = 510,257.94 × 199,986.08
  4. Step 4: Simplify right side
    369,752x = 102,044,485,209.48
  5. Step 5: Solve for x
    x = 102,044,485,209.48/369,752
  6. Step 6: Final answer
    x = 275,980.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.