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Finding the Fourth Proportional to 274,345.40, 384,346 and 274,345.40

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Solution

The fourth proportional to 274,345.40, 384,346 and 274,345.40 is: 384,346

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,345.40 : 384,346 = 274,345.40 : x
  2. Step 2: Convert to fraction form
    274,345.40/384,346 = 274,345.40/x
  3. Step 3: Cross multiply
    274,345.40x = 384,346 × 274,345.40
  4. Step 4: Simplify right side
    274,345.40x = 105,443,557,108.40
  5. Step 5: Solve for x
    x = 105,443,557,108.40/274,345.40
  6. Step 6: Final answer
    x = 384,346

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.