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Finding the Fourth Proportional to 909,309.84, 1,364,019.44 and 278,229.12

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Solution

The fourth proportional to 909,309.84, 1,364,019.44 and 278,229.12 is: 417,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,309.84 : 1,364,019.44 = 278,229.12 : x
  2. Step 2: Convert to fraction form
    909,309.84/1,364,019.44 = 278,229.12/x
  3. Step 3: Cross multiply
    909,309.84x = 1,364,019.44 × 278,229.12
  4. Step 4: Simplify right side
    909,309.84x = 379,509,927,062.95
  5. Step 5: Solve for x
    x = 379,509,927,062.95/909,309.84
  6. Step 6: Final answer
    x = 417,360.41

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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.