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Finding the Fourth Proportional to 389,083, 536,935.49 and 217,012.10

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Solution

The fourth proportional to 389,083, 536,935.49 and 217,012.10 is: 299,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,083 : 536,935.49 = 217,012.10 : x
  2. Step 2: Convert to fraction form
    389,083/536,935.49 = 217,012.10/x
  3. Step 3: Cross multiply
    389,083x = 536,935.49 × 217,012.10
  4. Step 4: Simplify right side
    389,083x = 116,521,498,249.43
  5. Step 5: Solve for x
    x = 116,521,498,249.43/389,083
  6. Step 6: Final answer
    x = 299,477.23

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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.