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Finding the Fourth Proportional to 310,702.10, 428,764.83 and 174,736.01

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Solution

The fourth proportional to 310,702.10, 428,764.83 and 174,736.01 is: 241,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,702.10 : 428,764.83 = 174,736.01 : x
  2. Step 2: Convert to fraction form
    310,702.10/428,764.83 = 174,736.01/x
  3. Step 3: Cross multiply
    310,702.10x = 428,764.83 × 174,736.01
  4. Step 4: Simplify right side
    310,702.10x = 74,920,653,478.70
  5. Step 5: Solve for x
    x = 74,920,653,478.70/310,702.10
  6. Step 6: Final answer
    x = 241,133.40

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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.