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Finding the Fourth Proportional to 716,943, 1,075,414.52 and 218,307

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Solution

The fourth proportional to 716,943, 1,075,414.52 and 218,307 is: 327,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,943 : 1,075,414.52 = 218,307 : x
  2. Step 2: Convert to fraction form
    716,943/1,075,414.52 = 218,307/x
  3. Step 3: Cross multiply
    716,943x = 1,075,414.52 × 218,307
  4. Step 4: Simplify right side
    716,943x = 234,770,517,617.64
  5. Step 5: Solve for x
    x = 234,770,517,617.64/716,943
  6. Step 6: Final answer
    x = 327,460.51

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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.