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Finding the Fourth Proportional to 210,329.88, 315,495.64 and 52,558.50

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Solution

The fourth proportional to 210,329.88, 315,495.64 and 52,558.50 is: 78,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,329.88 : 315,495.64 = 52,558.50 : x
  2. Step 2: Convert to fraction form
    210,329.88/315,495.64 = 52,558.50/x
  3. Step 3: Cross multiply
    210,329.88x = 315,495.64 × 52,558.50
  4. Step 4: Simplify right side
    210,329.88x = 16,581,977,594.94
  5. Step 5: Solve for x
    x = 16,581,977,594.94/210,329.88
  6. Step 6: Final answer
    x = 78,837.95

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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.