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Finding the Fourth Proportional to 388,077.75, 535,547.16 and 218,311.88

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Solution

The fourth proportional to 388,077.75, 535,547.16 and 218,311.88 is: 301,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,077.75 : 535,547.16 = 218,311.88 : x
  2. Step 2: Convert to fraction form
    388,077.75/535,547.16 = 218,311.88/x
  3. Step 3: Cross multiply
    388,077.75x = 535,547.16 × 218,311.88
  4. Step 4: Simplify right side
    388,077.75x = 116,916,304,650.53
  5. Step 5: Solve for x
    x = 116,916,304,650.53/388,077.75
  6. Step 6: Final answer
    x = 301,270.31

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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.