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Finding the Fourth Proportional to 371,296.02, 512,389.50 and 201,530.14

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Solution

The fourth proportional to 371,296.02, 512,389.50 and 201,530.14 is: 278,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,296.02 : 512,389.50 = 201,530.14 : x
  2. Step 2: Convert to fraction form
    371,296.02/512,389.50 = 201,530.14/x
  3. Step 3: Cross multiply
    371,296.02x = 512,389.50 × 201,530.14
  4. Step 4: Simplify right side
    371,296.02x = 103,261,927,669.53
  5. Step 5: Solve for x
    x = 103,261,927,669.53/371,296.02
  6. Step 6: Final answer
    x = 278,112.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.