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Finding the Fourth Proportional to 397,136.70, 595,810.65 and 172,400.70

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Solution

The fourth proportional to 397,136.70, 595,810.65 and 172,400.70 is: 258,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,136.70 : 595,810.65 = 172,400.70 : x
  2. Step 2: Convert to fraction form
    397,136.70/595,810.65 = 172,400.70/x
  3. Step 3: Cross multiply
    397,136.70x = 595,810.65 × 172,400.70
  4. Step 4: Simplify right side
    397,136.70x = 102,718,173,127.46
  5. Step 5: Solve for x
    x = 102,718,173,127.46/397,136.70
  6. Step 6: Final answer
    x = 258,646.89

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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.