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Finding the Fourth Proportional to 368,638.07, 508,688.11 and 205,282.23

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Solution

The fourth proportional to 368,638.07, 508,688.11 and 205,282.23 is: 283,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,638.07 : 508,688.11 = 205,282.23 : x
  2. Step 2: Convert to fraction form
    368,638.07/508,688.11 = 205,282.23/x
  3. Step 3: Cross multiply
    368,638.07x = 508,688.11 × 205,282.23
  4. Step 4: Simplify right side
    368,638.07x = 104,424,631,851.46
  5. Step 5: Solve for x
    x = 104,424,631,851.46/368,638.07
  6. Step 6: Final answer
    x = 283,271.42

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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.