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Finding the Fourth Proportional to 507,390.41, 699,715.61 and 303,408.11

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Solution

The fourth proportional to 507,390.41, 699,715.61 and 303,408.11 is: 418,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,390.41 : 699,715.61 = 303,408.11 : x
  2. Step 2: Convert to fraction form
    507,390.41/699,715.61 = 303,408.11/x
  3. Step 3: Cross multiply
    507,390.41x = 699,715.61 × 303,408.11
  4. Step 4: Simplify right side
    507,390.41x = 212,299,390,767.60
  5. Step 5: Solve for x
    x = 212,299,390,767.60/507,390.41
  6. Step 6: Final answer
    x = 418,414.28

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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.