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Finding the Fourth Proportional to 371,521, 512,694.44 and 201,756.32

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Solution

The fourth proportional to 371,521, 512,694.44 and 201,756.32 is: 278,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,521 : 512,694.44 = 201,756.32 : x
  2. Step 2: Convert to fraction form
    371,521/512,694.44 = 201,756.32/x
  3. Step 3: Cross multiply
    371,521x = 512,694.44 × 201,756.32
  4. Step 4: Simplify right side
    371,521x = 103,439,343,498.86
  5. Step 5: Solve for x
    x = 103,439,343,498.86/371,521
  6. Step 6: Final answer
    x = 278,421.26

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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.