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Finding the Fourth Proportional to 286,732, 427,319.96 and 271,802.08

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Solution

The fourth proportional to 286,732, 427,319.96 and 271,802.08 is: 405,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,732 : 427,319.96 = 271,802.08 : x
  2. Step 2: Convert to fraction form
    286,732/427,319.96 = 271,802.08/x
  3. Step 3: Cross multiply
    286,732x = 427,319.96 × 271,802.08
  4. Step 4: Simplify right side
    286,732x = 116,146,453,953.52
  5. Step 5: Solve for x
    x = 116,146,453,953.52/286,732
  6. Step 6: Final answer
    x = 405,069.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.