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Finding the Fourth Proportional to 577,085.10, 865,627.66 and 311,364.60

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Solution

The fourth proportional to 577,085.10, 865,627.66 and 311,364.60 is: 467,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,085.10 : 865,627.66 = 311,364.60 : x
  2. Step 2: Convert to fraction form
    577,085.10/865,627.66 = 311,364.60/x
  3. Step 3: Cross multiply
    577,085.10x = 865,627.66 × 311,364.60
  4. Step 4: Simplify right side
    577,085.10x = 269,525,810,104.84
  5. Step 5: Solve for x
    x = 269,525,810,104.84/577,085.10
  6. Step 6: Final answer
    x = 467,046.91

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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.