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Finding the Fourth Proportional to 208,575.74, 287,556.08 and 165,697.50

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Solution

The fourth proportional to 208,575.74, 287,556.08 and 165,697.50 is: 228,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,575.74 : 287,556.08 = 165,697.50 : x
  2. Step 2: Convert to fraction form
    208,575.74/287,556.08 = 165,697.50/x
  3. Step 3: Cross multiply
    208,575.74x = 287,556.08 × 165,697.50
  4. Step 4: Simplify right side
    208,575.74x = 47,647,323,565.80
  5. Step 5: Solve for x
    x = 47,647,323,565.80/208,575.74
  6. Step 6: Final answer
    x = 228,441.35

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1.5x scale

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.