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Finding the Fourth Proportional to 345,901.80, 477,271.70 and 210,007.16

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Solution

The fourth proportional to 345,901.80, 477,271.70 and 210,007.16 is: 289,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,901.80 : 477,271.70 = 210,007.16 : x
  2. Step 2: Convert to fraction form
    345,901.80/477,271.70 = 210,007.16/x
  3. Step 3: Cross multiply
    345,901.80x = 477,271.70 × 210,007.16
  4. Step 4: Simplify right side
    345,901.80x = 100,230,474,265.37
  5. Step 5: Solve for x
    x = 100,230,474,265.37/345,901.80
  6. Step 6: Final answer
    x = 289,765.69

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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.