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Finding the Fourth Proportional to 388,142.81, 535,631.59 and 218,376.53

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Solution

The fourth proportional to 388,142.81, 535,631.59 and 218,376.53 is: 301,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,142.81 : 535,631.59 = 218,376.53 : x
  2. Step 2: Convert to fraction form
    388,142.81/535,631.59 = 218,376.53/x
  3. Step 3: Cross multiply
    388,142.81x = 535,631.59 × 218,376.53
  4. Step 4: Simplify right side
    388,142.81x = 116,969,369,198.06
  5. Step 5: Solve for x
    x = 116,969,369,198.06/388,142.81
  6. Step 6: Final answer
    x = 301,356.53

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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.