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Finding the Fourth Proportional to 371,707.96, 512,959.44 and 201,942.04

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Solution

The fourth proportional to 371,707.96, 512,959.44 and 201,942.04 is: 278,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,707.96 : 512,959.44 = 201,942.04 : x
  2. Step 2: Convert to fraction form
    371,707.96/512,959.44 = 201,942.04/x
  3. Step 3: Cross multiply
    371,707.96x = 512,959.44 × 201,942.04
  4. Step 4: Simplify right side
    371,707.96x = 103,588,075,750.86
  5. Step 5: Solve for x
    x = 103,588,075,750.86/371,707.96
  6. Step 6: Final answer
    x = 278,681.35

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1.5x scale

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.