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Finding the Fourth Proportional to 357,136.36, 535,698.62 and 143,899.07

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Solution

The fourth proportional to 357,136.36, 535,698.62 and 143,899.07 is: 215,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,136.36 : 535,698.62 = 143,899.07 : x
  2. Step 2: Convert to fraction form
    357,136.36/535,698.62 = 143,899.07/x
  3. Step 3: Cross multiply
    357,136.36x = 535,698.62 × 143,899.07
  4. Step 4: Simplify right side
    357,136.36x = 77,086,529,820.30
  5. Step 5: Solve for x
    x = 77,086,529,820.30/357,136.36
  6. Step 6: Final answer
    x = 215,846.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.