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Finding the Fourth Proportional to 286,799.80, 430,199.70 and 284,956.60

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Solution

The fourth proportional to 286,799.80, 430,199.70 and 284,956.60 is: 427,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,799.80 : 430,199.70 = 284,956.60 : x
  2. Step 2: Convert to fraction form
    286,799.80/430,199.70 = 284,956.60/x
  3. Step 3: Cross multiply
    286,799.80x = 430,199.70 × 284,956.60
  4. Step 4: Simplify right side
    286,799.80x = 122,588,243,833.02
  5. Step 5: Solve for x
    x = 122,588,243,833.02/286,799.80
  6. Step 6: Final answer
    x = 427,434.90

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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.