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Finding the Fourth Proportional to 286,192.84, 429,284.22 and 99,201.64

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Solution

The fourth proportional to 286,192.84, 429,284.22 and 99,201.64 is: 148,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,192.84 : 429,284.22 = 99,201.64 : x
  2. Step 2: Convert to fraction form
    286,192.84/429,284.22 = 99,201.64/x
  3. Step 3: Cross multiply
    286,192.84x = 429,284.22 × 99,201.64
  4. Step 4: Simplify right side
    286,192.84x = 42,585,698,650.12
  5. Step 5: Solve for x
    x = 42,585,698,650.12/286,192.84
  6. Step 6: Final answer
    x = 148,800.71

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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.