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Finding the Fourth Proportional to 978,127.95, 1,467,191.93 and 347,105.55

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Solution

The fourth proportional to 978,127.95, 1,467,191.93 and 347,105.55 is: 520,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,127.95 : 1,467,191.93 = 347,105.55 : x
  2. Step 2: Convert to fraction form
    978,127.95/1,467,191.93 = 347,105.55/x
  3. Step 3: Cross multiply
    978,127.95x = 1,467,191.93 × 347,105.55
  4. Step 4: Simplify right side
    978,127.95x = 509,270,460,082.68
  5. Step 5: Solve for x
    x = 509,270,460,082.68/978,127.95
  6. Step 6: Final answer
    x = 520,658.33

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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.