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Finding the Fourth Proportional to 507,648.68, 700,466.36 and 289,757.87

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Solution

The fourth proportional to 507,648.68, 700,466.36 and 289,757.87 is: 399,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,648.68 : 700,466.36 = 289,757.87 : x
  2. Step 2: Convert to fraction form
    507,648.68/700,466.36 = 289,757.87/x
  3. Step 3: Cross multiply
    507,648.68x = 700,466.36 × 289,757.87
  4. Step 4: Simplify right side
    507,648.68x = 202,965,635,529.13
  5. Step 5: Solve for x
    x = 202,965,635,529.13/507,648.68
  6. Step 6: Final answer
    x = 399,815.16

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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.