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Finding the Fourth Proportional to 345,145.91, 476,187.19 and 201,804.46

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Solution

The fourth proportional to 345,145.91, 476,187.19 and 201,804.46 is: 278,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,145.91 : 476,187.19 = 201,804.46 : x
  2. Step 2: Convert to fraction form
    345,145.91/476,187.19 = 201,804.46/x
  3. Step 3: Cross multiply
    345,145.91x = 476,187.19 × 201,804.46
  4. Step 4: Simplify right side
    345,145.91x = 96,096,697,041.89
  5. Step 5: Solve for x
    x = 96,096,697,041.89/345,145.91
  6. Step 6: Final answer
    x = 278,423.40

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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.