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Finding the Fourth Proportional to 463,255.84, 693,978.78 and 319,136.24

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Solution

The fourth proportional to 463,255.84, 693,978.78 and 319,136.24 is: 478,080.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,255.84 : 693,978.78 = 319,136.24 : x
  2. Step 2: Convert to fraction form
    463,255.84/693,978.78 = 319,136.24/x
  3. Step 3: Cross multiply
    463,255.84x = 693,978.78 × 319,136.24
  4. Step 4: Simplify right side
    463,255.84x = 221,473,778,488.99
  5. Step 5: Solve for x
    x = 221,473,778,488.99/463,255.84
  6. Step 6: Final answer
    x = 478,080.92

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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.