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Finding the Fourth Proportional to 271,386.84, 407,075.40 and 111,428.04

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Solution

The fourth proportional to 271,386.84, 407,075.40 and 111,428.04 is: 167,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,386.84 : 407,075.40 = 111,428.04 : x
  2. Step 2: Convert to fraction form
    271,386.84/407,075.40 = 111,428.04/x
  3. Step 3: Cross multiply
    271,386.84x = 407,075.40 × 111,428.04
  4. Step 4: Simplify right side
    271,386.84x = 45,359,613,954.22
  5. Step 5: Solve for x
    x = 45,359,613,954.22/271,386.84
  6. Step 6: Final answer
    x = 167,140.06

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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.