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Finding the Fourth Proportional to 202,643.90, 302,482 and 178,702.86

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Solution

The fourth proportional to 202,643.90, 302,482 and 178,702.86 is: 266,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,643.90 : 302,482 = 178,702.86 : x
  2. Step 2: Convert to fraction form
    202,643.90/302,482 = 178,702.86/x
  3. Step 3: Cross multiply
    202,643.90x = 302,482 × 178,702.86
  4. Step 4: Simplify right side
    202,643.90x = 54,054,398,498.52
  5. Step 5: Solve for x
    x = 54,054,398,498.52/202,643.90
  6. Step 6: Final answer
    x = 266,745.75

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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.