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Finding the Fourth Proportional to 397,527.80, 596,982.90 and 210,903.80

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Solution

The fourth proportional to 397,527.80, 596,982.90 and 210,903.80 is: 316,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,527.80 : 596,982.90 = 210,903.80 : x
  2. Step 2: Convert to fraction form
    397,527.80/596,982.90 = 210,903.80/x
  3. Step 3: Cross multiply
    397,527.80x = 596,982.90 × 210,903.80
  4. Step 4: Simplify right side
    397,527.80x = 125,905,962,145.02
  5. Step 5: Solve for x
    x = 125,905,962,145.02/397,527.80
  6. Step 6: Final answer
    x = 316,722.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.