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Finding the Fourth Proportional to 286,656.60, 429,855.30 and 128,803.80

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Solution

The fourth proportional to 286,656.60, 429,855.30 and 128,803.80 is: 193,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,656.60 : 429,855.30 = 128,803.80 : x
  2. Step 2: Convert to fraction form
    286,656.60/429,855.30 = 128,803.80/x
  3. Step 3: Cross multiply
    286,656.60x = 429,855.30 × 128,803.80
  4. Step 4: Simplify right side
    286,656.60x = 55,366,996,090.14
  5. Step 5: Solve for x
    x = 55,366,996,090.14/286,656.60
  6. Step 6: Final answer
    x = 193,147.47

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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.