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Finding the Fourth Proportional to 304,085.88, 456,153 and 90,838.14

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Solution

The fourth proportional to 304,085.88, 456,153 and 90,838.14 is: 136,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,085.88 : 456,153 = 90,838.14 : x
  2. Step 2: Convert to fraction form
    304,085.88/456,153 = 90,838.14/x
  3. Step 3: Cross multiply
    304,085.88x = 456,153 × 90,838.14
  4. Step 4: Simplify right side
    304,085.88x = 41,436,090,075.42
  5. Step 5: Solve for x
    x = 41,436,090,075.42/304,085.88
  6. Step 6: Final answer
    x = 136,264.43

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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.