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Finding the Fourth Proportional to 507,369.38, 700,174.90 and 306,126.50

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Solution

The fourth proportional to 507,369.38, 700,174.90 and 306,126.50 is: 422,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,369.38 : 700,174.90 = 306,126.50 : x
  2. Step 2: Convert to fraction form
    507,369.38/700,174.90 = 306,126.50/x
  3. Step 3: Cross multiply
    507,369.38x = 700,174.90 × 306,126.50
  4. Step 4: Simplify right side
    507,369.38x = 214,342,091,524.85
  5. Step 5: Solve for x
    x = 214,342,091,524.85/507,369.38
  6. Step 6: Final answer
    x = 422,457.68

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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.