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Finding the Fourth Proportional to 507,649.43, 700,467.39 and 289,758.62

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Solution

The fourth proportional to 507,649.43, 700,467.39 and 289,758.62 is: 399,816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,649.43 : 700,467.39 = 289,758.62 : x
  2. Step 2: Convert to fraction form
    507,649.43/700,467.39 = 289,758.62/x
  3. Step 3: Cross multiply
    507,649.43x = 700,467.39 × 289,758.62
  4. Step 4: Simplify right side
    507,649.43x = 202,966,460,779.07
  5. Step 5: Solve for x
    x = 202,966,460,779.07/507,649.43
  6. Step 6: Final answer
    x = 399,816.19

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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.