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Finding the Fourth Proportional to 490,225.05, 735,598.80 and 190,715.40

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Solution

The fourth proportional to 490,225.05, 735,598.80 and 190,715.40 is: 286,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,225.05 : 735,598.80 = 190,715.40 : x
  2. Step 2: Convert to fraction form
    490,225.05/735,598.80 = 190,715.40/x
  3. Step 3: Cross multiply
    490,225.05x = 735,598.80 × 190,715.40
  4. Step 4: Simplify right side
    490,225.05x = 140,290,019,381.52
  5. Step 5: Solve for x
    x = 140,290,019,381.52/490,225.05
  6. Step 6: Final answer
    x = 286,174.73

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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.