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Finding the Fourth Proportional to 368,904.62, 509,113.14 and 205,586.48

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Solution

The fourth proportional to 368,904.62, 509,113.14 and 205,586.48 is: 283,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,904.62 : 509,113.14 = 205,586.48 : x
  2. Step 2: Convert to fraction form
    368,904.62/509,113.14 = 205,586.48/x
  3. Step 3: Cross multiply
    368,904.62x = 509,113.14 × 205,586.48
  4. Step 4: Simplify right side
    368,904.62x = 104,666,778,374.35
  5. Step 5: Solve for x
    x = 104,666,778,374.35/368,904.62
  6. Step 6: Final answer
    x = 283,723.14

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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.