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Finding the Fourth Proportional to 291,136.48, 436,891.47 and 141,294.98

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Solution

The fourth proportional to 291,136.48, 436,891.47 and 141,294.98 is: 212,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,136.48 : 436,891.47 = 141,294.98 : x
  2. Step 2: Convert to fraction form
    291,136.48/436,891.47 = 141,294.98/x
  3. Step 3: Cross multiply
    291,136.48x = 436,891.47 × 141,294.98
  4. Step 4: Simplify right side
    291,136.48x = 61,730,572,872.98
  5. Step 5: Solve for x
    x = 61,730,572,872.98/291,136.48
  6. Step 6: Final answer
    x = 212,033.11

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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.