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Finding the Fourth Proportional to 507,013.52, 699,630.08 and 303,023.82

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Solution

The fourth proportional to 507,013.52, 699,630.08 and 303,023.82 is: 418,143.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,013.52 : 699,630.08 = 303,023.82 : x
  2. Step 2: Convert to fraction form
    507,013.52/699,630.08 = 303,023.82/x
  3. Step 3: Cross multiply
    507,013.52x = 699,630.08 × 303,023.82
  4. Step 4: Simplify right side
    507,013.52x = 212,004,579,428.51
  5. Step 5: Solve for x
    x = 212,004,579,428.51/507,013.52
  6. Step 6: Final answer
    x = 418,143.84

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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.