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Finding the Fourth Proportional to 280,768, 421,032.12 and 162,520.96

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Solution

The fourth proportional to 280,768, 421,032.12 and 162,520.96 is: 243,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,768 : 421,032.12 = 162,520.96 : x
  2. Step 2: Convert to fraction form
    280,768/421,032.12 = 162,520.96/x
  3. Step 3: Cross multiply
    280,768x = 421,032.12 × 162,520.96
  4. Step 4: Simplify right side
    280,768x = 68,426,544,333.24
  5. Step 5: Solve for x
    x = 68,426,544,333.24/280,768
  6. Step 6: Final answer
    x = 243,712.05

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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.