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Finding the Fourth Proportional to 515,085.76, 772,594.80 and 178,048

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Solution

The fourth proportional to 515,085.76, 772,594.80 and 178,048 is: 267,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,085.76 : 772,594.80 = 178,048 : x
  2. Step 2: Convert to fraction form
    515,085.76/772,594.80 = 178,048/x
  3. Step 3: Cross multiply
    515,085.76x = 772,594.80 × 178,048
  4. Step 4: Simplify right side
    515,085.76x = 137,558,958,950.40
  5. Step 5: Solve for x
    x = 137,558,958,950.40/515,085.76
  6. Step 6: Final answer
    x = 267,060.30

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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.