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Finding the Fourth Proportional to 310,802.89, 428,975.91 and 197,603.53

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Solution

The fourth proportional to 310,802.89, 428,975.91 and 197,603.53 is: 272,736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,802.89 : 428,975.91 = 197,603.53 : x
  2. Step 2: Convert to fraction form
    310,802.89/428,975.91 = 197,603.53/x
  3. Step 3: Cross multiply
    310,802.89x = 428,975.91 × 197,603.53
  4. Step 4: Simplify right side
    310,802.89x = 84,767,153,112.94
  5. Step 5: Solve for x
    x = 84,767,153,112.94/310,802.89
  6. Step 6: Final answer
    x = 272,736.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.