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Finding the Fourth Proportional to 469,448.96, 647,828.16 and 268,232

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Solution

The fourth proportional to 469,448.96, 647,828.16 and 268,232 is: 370,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,448.96 : 647,828.16 = 268,232 : x
  2. Step 2: Convert to fraction form
    469,448.96/647,828.16 = 268,232/x
  3. Step 3: Cross multiply
    469,448.96x = 647,828.16 × 268,232
  4. Step 4: Simplify right side
    469,448.96x = 173,768,243,013.12
  5. Step 5: Solve for x
    x = 173,768,243,013.12/469,448.96
  6. Step 6: Final answer
    x = 370,153.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.