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Finding the Fourth Proportional to 463,255.35, 693,978.03 and 319,135.74

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Solution

The fourth proportional to 463,255.35, 693,978.03 and 319,135.74 is: 478,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,255.35 : 693,978.03 = 319,135.74 : x
  2. Step 2: Convert to fraction form
    463,255.35/693,978.03 = 319,135.74/x
  3. Step 3: Cross multiply
    463,255.35x = 693,978.03 × 319,135.74
  4. Step 4: Simplify right side
    463,255.35x = 221,473,192,147.79
  5. Step 5: Solve for x
    x = 221,473,192,147.79/463,255.35
  6. Step 6: Final answer
    x = 478,080.17

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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.