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Finding the Fourth Proportional to 395,702.64, 546,079.80 and 242,825.28

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Solution

The fourth proportional to 395,702.64, 546,079.80 and 242,825.28 is: 335,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,702.64 : 546,079.80 = 242,825.28 : x
  2. Step 2: Convert to fraction form
    395,702.64/546,079.80 = 242,825.28/x
  3. Step 3: Cross multiply
    395,702.64x = 546,079.80 × 242,825.28
  4. Step 4: Simplify right side
    395,702.64x = 132,601,980,337.34
  5. Step 5: Solve for x
    x = 132,601,980,337.34/395,702.64
  6. Step 6: Final answer
    x = 335,105.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.