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Finding the Fourth Proportional to 591,123.40, 886,685.10 and 413,830.60

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Solution

The fourth proportional to 591,123.40, 886,685.10 and 413,830.60 is: 620,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,123.40 : 886,685.10 = 413,830.60 : x
  2. Step 2: Convert to fraction form
    591,123.40/886,685.10 = 413,830.60/x
  3. Step 3: Cross multiply
    591,123.40x = 886,685.10 × 413,830.60
  4. Step 4: Simplify right side
    591,123.40x = 366,937,426,944.06
  5. Step 5: Solve for x
    x = 366,937,426,944.06/591,123.40
  6. Step 6: Final answer
    x = 620,745.90

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