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Finding the Fourth Proportional to 259,564.60, 388,569.30 and 154,329.40

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Solution

The fourth proportional to 259,564.60, 388,569.30 and 154,329.40 is: 231,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,564.60 : 388,569.30 = 154,329.40 : x
  2. Step 2: Convert to fraction form
    259,564.60/388,569.30 = 154,329.40/x
  3. Step 3: Cross multiply
    259,564.60x = 388,569.30 × 154,329.40
  4. Step 4: Simplify right side
    259,564.60x = 59,967,666,927.42
  5. Step 5: Solve for x
    x = 59,967,666,927.42/259,564.60
  6. Step 6: Final answer
    x = 231,031.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.