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Finding the Fourth Proportional to 309,696.25, 464,543.48 and 85,056.89

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Solution

The fourth proportional to 309,696.25, 464,543.48 and 85,056.89 is: 127,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,696.25 : 464,543.48 = 85,056.89 : x
  2. Step 2: Convert to fraction form
    309,696.25/464,543.48 = 85,056.89/x
  3. Step 3: Cross multiply
    309,696.25x = 464,543.48 × 85,056.89
  4. Step 4: Simplify right side
    309,696.25x = 39,512,623,678.58
  5. Step 5: Solve for x
    x = 39,512,623,678.58/309,696.25
  6. Step 6: Final answer
    x = 127,585.09

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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.