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Finding the Fourth Proportional to 369,751.59, 510,257.21 and 199,985.72

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Solution

The fourth proportional to 369,751.59, 510,257.21 and 199,985.72 is: 275,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,751.59 : 510,257.21 = 199,985.72 : x
  2. Step 2: Convert to fraction form
    369,751.59/510,257.21 = 199,985.72/x
  3. Step 3: Cross multiply
    369,751.59x = 510,257.21 × 199,985.72
  4. Step 4: Simplify right side
    369,751.59x = 102,044,151,975.83
  5. Step 5: Solve for x
    x = 102,044,151,975.83/369,751.59
  6. Step 6: Final answer
    x = 275,980.29

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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.