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Finding the Fourth Proportional to 507,371.88, 700,178.34 and 306,129

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Solution

The fourth proportional to 507,371.88, 700,178.34 and 306,129 is: 422,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,371.88 : 700,178.34 = 306,129 : x
  2. Step 2: Convert to fraction form
    507,371.88/700,178.34 = 306,129/x
  3. Step 3: Cross multiply
    507,371.88x = 700,178.34 × 306,129
  4. Step 4: Simplify right side
    507,371.88x = 214,344,895,045.86
  5. Step 5: Solve for x
    x = 214,344,895,045.86/507,371.88
  6. Step 6: Final answer
    x = 422,461.12

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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.