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Finding the Fourth Proportional to 406,370.30, 609,847.05 and 228,688.70

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Solution

The fourth proportional to 406,370.30, 609,847.05 and 228,688.70 is: 343,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,370.30 : 609,847.05 = 228,688.70 : x
  2. Step 2: Convert to fraction form
    406,370.30/609,847.05 = 228,688.70/x
  3. Step 3: Cross multiply
    406,370.30x = 609,847.05 × 228,688.70
  4. Step 4: Simplify right side
    406,370.30x = 139,465,129,063.34
  5. Step 5: Solve for x
    x = 139,465,129,063.34/406,370.30
  6. Step 6: Final answer
    x = 343,197.15

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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.