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Finding the Fourth Proportional to 507,368.88, 700,174.20 and 306,126

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Solution

The fourth proportional to 507,368.88, 700,174.20 and 306,126 is: 422,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,368.88 : 700,174.20 = 306,126 : x
  2. Step 2: Convert to fraction form
    507,368.88/700,174.20 = 306,126/x
  3. Step 3: Cross multiply
    507,368.88x = 700,174.20 × 306,126
  4. Step 4: Simplify right side
    507,368.88x = 214,341,527,149.20
  5. Step 5: Solve for x
    x = 214,341,527,149.20/507,368.88
  6. Step 6: Final answer
    x = 422,456.98

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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.