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Finding the Fourth Proportional to 290,436.80, 435,455.40 and 148,006.40

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Solution

The fourth proportional to 290,436.80, 435,455.40 and 148,006.40 is: 221,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,436.80 : 435,455.40 = 148,006.40 : x
  2. Step 2: Convert to fraction form
    290,436.80/435,455.40 = 148,006.40/x
  3. Step 3: Cross multiply
    290,436.80x = 435,455.40 × 148,006.40
  4. Step 4: Simplify right side
    290,436.80x = 64,450,186,114.56
  5. Step 5: Solve for x
    x = 64,450,186,114.56/290,436.80
  6. Step 6: Final answer
    x = 221,907.78

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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.