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Finding the Fourth Proportional to 306,078.40, 459,117.60 and 286,249.60

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Solution

The fourth proportional to 306,078.40, 459,117.60 and 286,249.60 is: 429,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,078.40 : 459,117.60 = 286,249.60 : x
  2. Step 2: Convert to fraction form
    306,078.40/459,117.60 = 286,249.60/x
  3. Step 3: Cross multiply
    306,078.40x = 459,117.60 × 286,249.60
  4. Step 4: Simplify right side
    306,078.40x = 131,422,229,352.96
  5. Step 5: Solve for x
    x = 131,422,229,352.96/306,078.40
  6. Step 6: Final answer
    x = 429,374.40

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1.5x scale

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.