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Finding the Fourth Proportional to 507,137.36, 699,749.48 and 289,341.32

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Solution

The fourth proportional to 507,137.36, 699,749.48 and 289,341.32 is: 399,233.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,137.36 : 699,749.48 = 289,341.32 : x
  2. Step 2: Convert to fraction form
    507,137.36/699,749.48 = 289,341.32/x
  3. Step 3: Cross multiply
    507,137.36x = 699,749.48 × 289,341.32
  4. Step 4: Simplify right side
    507,137.36x = 202,466,435,437.12
  5. Step 5: Solve for x
    x = 202,466,435,437.12/507,137.36
  6. Step 6: Final answer
    x = 399,233.92

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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.