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Finding the Fourth Proportional to 280,952.72, 421,429.48 and 114,740.72

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Solution

The fourth proportional to 280,952.72, 421,429.48 and 114,740.72 is: 172,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,952.72 : 421,429.48 = 114,740.72 : x
  2. Step 2: Convert to fraction form
    280,952.72/421,429.48 = 114,740.72/x
  3. Step 3: Cross multiply
    280,952.72x = 421,429.48 × 114,740.72
  4. Step 4: Simplify right side
    280,952.72x = 48,355,121,796.20
  5. Step 5: Solve for x
    x = 48,355,121,796.20/280,952.72
  6. Step 6: Final answer
    x = 172,111.24

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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.