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Finding the Fourth Proportional to 388,484.74, 582,085.59 and 177,657.94

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Solution

The fourth proportional to 388,484.74, 582,085.59 and 177,657.94 is: 266,193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,484.74 : 582,085.59 = 177,657.94 : x
  2. Step 2: Convert to fraction form
    388,484.74/582,085.59 = 177,657.94/x
  3. Step 3: Cross multiply
    388,484.74x = 582,085.59 × 177,657.94
  4. Step 4: Simplify right side
    388,484.74x = 103,412,126,823.09
  5. Step 5: Solve for x
    x = 103,412,126,823.09/388,484.74
  6. Step 6: Final answer
    x = 266,193.54

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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.