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Finding the Fourth Proportional to 261,486.23, 391,239.32 and 154,927.28

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Solution

The fourth proportional to 261,486.23, 391,239.32 and 154,927.28 is: 231,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,486.23 : 391,239.32 = 154,927.28 : x
  2. Step 2: Convert to fraction form
    261,486.23/391,239.32 = 154,927.28/x
  3. Step 3: Cross multiply
    261,486.23x = 391,239.32 × 154,927.28
  4. Step 4: Simplify right side
    261,486.23x = 60,613,643,880.11
  5. Step 5: Solve for x
    x = 60,613,643,880.11/261,486.23
  6. Step 6: Final answer
    x = 231,804.35

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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.