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Finding the Fourth Proportional to 270,702.51, 405,200.83 and 242,173.09

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Solution

The fourth proportional to 270,702.51, 405,200.83 and 242,173.09 is: 362,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,702.51 : 405,200.83 = 242,173.09 : x
  2. Step 2: Convert to fraction form
    270,702.51/405,200.83 = 242,173.09/x
  3. Step 3: Cross multiply
    270,702.51x = 405,200.83 × 242,173.09
  4. Step 4: Simplify right side
    270,702.51x = 98,128,737,426.81
  5. Step 5: Solve for x
    x = 98,128,737,426.81/270,702.51
  6. Step 6: Final answer
    x = 362,496.60

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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.