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Finding the Fourth Proportional to 386,266.80, 579,659.40 and 175,796.40

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Solution

The fourth proportional to 386,266.80, 579,659.40 and 175,796.40 is: 263,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,266.80 : 579,659.40 = 175,796.40 : x
  2. Step 2: Convert to fraction form
    386,266.80/579,659.40 = 175,796.40/x
  3. Step 3: Cross multiply
    386,266.80x = 579,659.40 × 175,796.40
  4. Step 4: Simplify right side
    386,266.80x = 101,902,035,746.16
  5. Step 5: Solve for x
    x = 101,902,035,746.16/386,266.80
  6. Step 6: Final answer
    x = 263,812.57

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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.