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Finding the Fourth Proportional to 571,590, 789,016.10 and 428,765.54

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Solution

The fourth proportional to 571,590, 789,016.10 and 428,765.54 is: 591,862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,590 : 789,016.10 = 428,765.54 : x
  2. Step 2: Convert to fraction form
    571,590/789,016.10 = 428,765.54/x
  3. Step 3: Cross multiply
    571,590x = 789,016.10 × 428,765.54
  4. Step 4: Simplify right side
    571,590x = 338,302,908,096.29
  5. Step 5: Solve for x
    x = 338,302,908,096.29/571,590
  6. Step 6: Final answer
    x = 591,862.89

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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.