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Finding the Fourth Proportional to 305,830.40, 458,745.60 and 128,683.40

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Solution

The fourth proportional to 305,830.40, 458,745.60 and 128,683.40 is: 193,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,830.40 : 458,745.60 = 128,683.40 : x
  2. Step 2: Convert to fraction form
    305,830.40/458,745.60 = 128,683.40/x
  3. Step 3: Cross multiply
    305,830.40x = 458,745.60 × 128,683.40
  4. Step 4: Simplify right side
    305,830.40x = 59,032,943,543.04
  5. Step 5: Solve for x
    x = 59,032,943,543.04/305,830.40
  6. Step 6: Final answer
    x = 193,025.10

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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.