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Finding the Fourth Proportional to 286,259.60, 429,022.20 and 159,899.60

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Solution

The fourth proportional to 286,259.60, 429,022.20 and 159,899.60 is: 239,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,259.60 : 429,022.20 = 159,899.60 : x
  2. Step 2: Convert to fraction form
    286,259.60/429,022.20 = 159,899.60/x
  3. Step 3: Cross multiply
    286,259.60x = 429,022.20 × 159,899.60
  4. Step 4: Simplify right side
    286,259.60x = 68,600,478,171.12
  5. Step 5: Solve for x
    x = 68,600,478,171.12/286,259.60
  6. Step 6: Final answer
    x = 239,644.29

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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.