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Finding the Fourth Proportional to 371,658.12, 512,604.16 and 320,064.58

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Solution

The fourth proportional to 371,658.12, 512,604.16 and 320,064.58 is: 441,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,658.12 : 512,604.16 = 320,064.58 : x
  2. Step 2: Convert to fraction form
    371,658.12/512,604.16 = 320,064.58/x
  3. Step 3: Cross multiply
    371,658.12x = 512,604.16 × 320,064.58
  4. Step 4: Simplify right side
    371,658.12x = 164,066,435,176.65
  5. Step 5: Solve for x
    x = 164,066,435,176.65/371,658.12
  6. Step 6: Final answer
    x = 441,444.51

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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.