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Finding the Fourth Proportional to 388,701.62, 536,224.96 and 227,457.76

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Solution

The fourth proportional to 388,701.62, 536,224.96 and 227,457.76 is: 313,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,701.62 : 536,224.96 = 227,457.76 : x
  2. Step 2: Convert to fraction form
    388,701.62/536,224.96 = 227,457.76/x
  3. Step 3: Cross multiply
    388,701.62x = 536,224.96 × 227,457.76
  4. Step 4: Simplify right side
    388,701.62x = 121,968,528,257.69
  5. Step 5: Solve for x
    x = 121,968,528,257.69/388,701.62
  6. Step 6: Final answer
    x = 313,784.46

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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.