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Finding the Fourth Proportional to 406,457.80, 609,557.50 and 379,922.60

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Solution

The fourth proportional to 406,457.80, 609,557.50 and 379,922.60 is: 569,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,457.80 : 609,557.50 = 379,922.60 : x
  2. Step 2: Convert to fraction form
    406,457.80/609,557.50 = 379,922.60/x
  3. Step 3: Cross multiply
    406,457.80x = 609,557.50 × 379,922.60
  4. Step 4: Simplify right side
    406,457.80x = 231,584,672,248.30
  5. Step 5: Solve for x
    x = 231,584,672,248.30/406,457.80
  6. Step 6: Final answer
    x = 569,763.14

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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.