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Finding the Fourth Proportional to 778,944, 1,168,416 and 187,968

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Solution

The fourth proportional to 778,944, 1,168,416 and 187,968 is: 281,952

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,944 : 1,168,416 = 187,968 : x
  2. Step 2: Convert to fraction form
    778,944/1,168,416 = 187,968/x
  3. Step 3: Cross multiply
    778,944x = 1,168,416 × 187,968
  4. Step 4: Simplify right side
    778,944x = 219,624,818,688
  5. Step 5: Solve for x
    x = 219,624,818,688/778,944
  6. Step 6: Final answer
    x = 281,952

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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.