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Finding the Fourth Proportional to 286,522.14, 429,980.64 and 99,533.64

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Solution

The fourth proportional to 286,522.14, 429,980.64 and 99,533.64 is: 149,369.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,522.14 : 429,980.64 = 99,533.64 : x
  2. Step 2: Convert to fraction form
    286,522.14/429,980.64 = 99,533.64/x
  3. Step 3: Cross multiply
    286,522.14x = 429,980.64 × 99,533.64
  4. Step 4: Simplify right side
    286,522.14x = 42,797,538,228.73
  5. Step 5: Solve for x
    x = 42,797,538,228.73/286,522.14
  6. Step 6: Final answer
    x = 149,369.04

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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.