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Finding the Fourth Proportional to 406,445.76, 609,444.68 and 139,986.54

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Solution

The fourth proportional to 406,445.76, 609,444.68 and 139,986.54 is: 209,902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,445.76 : 609,444.68 = 139,986.54 : x
  2. Step 2: Convert to fraction form
    406,445.76/609,444.68 = 139,986.54/x
  3. Step 3: Cross multiply
    406,445.76x = 609,444.68 × 139,986.54
  4. Step 4: Simplify right side
    406,445.76x = 85,314,051,374.67
  5. Step 5: Solve for x
    x = 85,314,051,374.67/406,445.76
  6. Step 6: Final answer
    x = 209,902.67

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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.