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Finding the Fourth Proportional to 406,543.67, 609,912.40 and 140,306.50

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Solution

The fourth proportional to 406,543.67, 609,912.40 and 140,306.50 is: 210,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,543.67 : 609,912.40 = 140,306.50 : x
  2. Step 2: Convert to fraction form
    406,543.67/609,912.40 = 140,306.50/x
  3. Step 3: Cross multiply
    406,543.67x = 609,912.40 × 140,306.50
  4. Step 4: Simplify right side
    406,543.67x = 85,574,674,150.60
  5. Step 5: Solve for x
    x = 85,574,674,150.60/406,543.67
  6. Step 6: Final answer
    x = 210,493.19

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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.