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Finding the Fourth Proportional to 507,647.05, 700,464.11 and 289,756.24

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Solution

The fourth proportional to 507,647.05, 700,464.11 and 289,756.24 is: 399,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,647.05 : 700,464.11 = 289,756.24 : x
  2. Step 2: Convert to fraction form
    507,647.05/700,464.11 = 289,756.24/x
  3. Step 3: Cross multiply
    507,647.05x = 700,464.11 × 289,756.24
  4. Step 4: Simplify right side
    507,647.05x = 202,963,846,768.55
  5. Step 5: Solve for x
    x = 202,963,846,768.55/507,647.05
  6. Step 6: Final answer
    x = 399,812.91

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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.