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Finding the Fourth Proportional to 727,798, 1,091,863.18 and 222,430.90

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Solution

The fourth proportional to 727,798, 1,091,863.18 and 222,430.90 is: 333,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,798 : 1,091,863.18 = 222,430.90 : x
  2. Step 2: Convert to fraction form
    727,798/1,091,863.18 = 222,430.90/x
  3. Step 3: Cross multiply
    727,798x = 1,091,863.18 × 222,430.90
  4. Step 4: Simplify right side
    727,798x = 242,864,109,804.26
  5. Step 5: Solve for x
    x = 242,864,109,804.26/727,798
  6. Step 6: Final answer
    x = 333,697.14

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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.