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Finding the Fourth Proportional to 304,783.90, 457,197.74 and 105,101.40

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Solution

The fourth proportional to 304,783.90, 457,197.74 and 105,101.40 is: 157,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,783.90 : 457,197.74 = 105,101.40 : x
  2. Step 2: Convert to fraction form
    304,783.90/457,197.74 = 105,101.40/x
  3. Step 3: Cross multiply
    304,783.90x = 457,197.74 × 105,101.40
  4. Step 4: Simplify right side
    304,783.90x = 48,052,122,813.59
  5. Step 5: Solve for x
    x = 48,052,122,813.59/304,783.90
  6. Step 6: Final answer
    x = 157,659.65

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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.