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Finding the Fourth Proportional to 366,158, 505,307.40 and 205,047.08

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Solution

The fourth proportional to 366,158, 505,307.40 and 205,047.08 is: 282,970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,158 : 505,307.40 = 205,047.08 : x
  2. Step 2: Convert to fraction form
    366,158/505,307.40 = 205,047.08/x
  3. Step 3: Cross multiply
    366,158x = 505,307.40 × 205,047.08
  4. Step 4: Simplify right side
    366,158x = 103,611,806,872.39
  5. Step 5: Solve for x
    x = 103,611,806,872.39/366,158
  6. Step 6: Final answer
    x = 282,970.21

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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.