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Finding the Fourth Proportional to 319,033.44, 478,431 and 105,762.24

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Solution

The fourth proportional to 319,033.44, 478,431 and 105,762.24 is: 158,603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,033.44 : 478,431 = 105,762.24 : x
  2. Step 2: Convert to fraction form
    319,033.44/478,431 = 105,762.24/x
  3. Step 3: Cross multiply
    319,033.44x = 478,431 × 105,762.24
  4. Step 4: Simplify right side
    319,033.44x = 50,599,934,245.44
  5. Step 5: Solve for x
    x = 50,599,934,245.44/319,033.44
  6. Step 6: Final answer
    x = 158,603.86

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1.5x scale

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.