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Finding the Fourth Proportional to 507,129.33, 699,885.42 and 280,774.83

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Solution

The fourth proportional to 507,129.33, 699,885.42 and 280,774.83 is: 387,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,129.33 : 699,885.42 = 280,774.83 : x
  2. Step 2: Convert to fraction form
    507,129.33/699,885.42 = 280,774.83/x
  3. Step 3: Cross multiply
    507,129.33x = 699,885.42 × 280,774.83
  4. Step 4: Simplify right side
    507,129.33x = 196,510,209,819.98
  5. Step 5: Solve for x
    x = 196,510,209,819.98/507,129.33
  6. Step 6: Final answer
    x = 387,495.26

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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.