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Finding the Fourth Proportional to 390,084.40, 584,075 and 254,813.44

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Solution

The fourth proportional to 390,084.40, 584,075 and 254,813.44 is: 381,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,084.40 : 584,075 = 254,813.44 : x
  2. Step 2: Convert to fraction form
    390,084.40/584,075 = 254,813.44/x
  3. Step 3: Cross multiply
    390,084.40x = 584,075 × 254,813.44
  4. Step 4: Simplify right side
    390,084.40x = 148,830,159,968
  5. Step 5: Solve for x
    x = 148,830,159,968/390,084.40
  6. Step 6: Final answer
    x = 381,533.23

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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.