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Finding the Fourth Proportional to 286,951.20, 430,503.60 and 256,000.80

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Solution

The fourth proportional to 286,951.20, 430,503.60 and 256,000.80 is: 384,069.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,951.20 : 430,503.60 = 256,000.80 : x
  2. Step 2: Convert to fraction form
    286,951.20/430,503.60 = 256,000.80/x
  3. Step 3: Cross multiply
    286,951.20x = 430,503.60 × 256,000.80
  4. Step 4: Simplify right side
    286,951.20x = 110,209,266,002.88
  5. Step 5: Solve for x
    x = 110,209,266,002.88/286,951.20
  6. Step 6: Final answer
    x = 384,069.72

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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.