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Finding the Fourth Proportional to 477,768.78, 716,153.40 and 178,119

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Solution

The fourth proportional to 477,768.78, 716,153.40 and 178,119 is: 266,992.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,768.78 : 716,153.40 = 178,119 : x
  2. Step 2: Convert to fraction form
    477,768.78/716,153.40 = 178,119/x
  3. Step 3: Cross multiply
    477,768.78x = 716,153.40 × 178,119
  4. Step 4: Simplify right side
    477,768.78x = 127,560,527,454.60
  5. Step 5: Solve for x
    x = 127,560,527,454.60/477,768.78
  6. Step 6: Final answer
    x = 266,992.18

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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.