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Finding the Fourth Proportional to 286,901.40, 430,352.10 and 255,408.60

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Solution

The fourth proportional to 286,901.40, 430,352.10 and 255,408.60 is: 383,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,901.40 : 430,352.10 = 255,408.60 : x
  2. Step 2: Convert to fraction form
    286,901.40/430,352.10 = 255,408.60/x
  3. Step 3: Cross multiply
    286,901.40x = 430,352.10 × 255,408.60
  4. Step 4: Simplify right side
    286,901.40x = 109,915,627,368.06
  5. Step 5: Solve for x
    x = 109,915,627,368.06/286,901.40
  6. Step 6: Final answer
    x = 383,112.90

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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.