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Finding the Fourth Proportional to 319,131.16, 478,767.71 and 139,245.74

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Solution

The fourth proportional to 319,131.16, 478,767.71 and 139,245.74 is: 208,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,131.16 : 478,767.71 = 139,245.74 : x
  2. Step 2: Convert to fraction form
    319,131.16/478,767.71 = 139,245.74/x
  3. Step 3: Cross multiply
    319,131.16x = 478,767.71 × 139,245.74
  4. Step 4: Simplify right side
    319,131.16x = 66,666,364,067.06
  5. Step 5: Solve for x
    x = 66,666,364,067.06/319,131.16
  6. Step 6: Final answer
    x = 208,899.58

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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.