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Finding the Fourth Proportional to 290,733.80, 435,809.10 and 133,075.40

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Solution

The fourth proportional to 290,733.80, 435,809.10 and 133,075.40 is: 199,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,733.80 : 435,809.10 = 133,075.40 : x
  2. Step 2: Convert to fraction form
    290,733.80/435,809.10 = 133,075.40/x
  3. Step 3: Cross multiply
    290,733.80x = 435,809.10 × 133,075.40
  4. Step 4: Simplify right side
    290,733.80x = 57,995,470,306.14
  5. Step 5: Solve for x
    x = 57,995,470,306.14/290,733.80
  6. Step 6: Final answer
    x = 199,479.63

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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.