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Finding the Fourth Proportional to 286,745.60, 429,527.10 and 168,057.20

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Solution

The fourth proportional to 286,745.60, 429,527.10 and 168,057.20 is: 251,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,745.60 : 429,527.10 = 168,057.20 : x
  2. Step 2: Convert to fraction form
    286,745.60/429,527.10 = 168,057.20/x
  3. Step 3: Cross multiply
    286,745.60x = 429,527.10 × 168,057.20
  4. Step 4: Simplify right side
    286,745.60x = 72,185,121,750.12
  5. Step 5: Solve for x
    x = 72,185,121,750.12/286,745.60
  6. Step 6: Final answer
    x = 251,739.25

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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.