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Finding the Fourth Proportional to 445,075.84, 668,491.80 and 382,407.76

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Solution

The fourth proportional to 445,075.84, 668,491.80 and 382,407.76 is: 574,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,075.84 : 668,491.80 = 382,407.76 : x
  2. Step 2: Convert to fraction form
    445,075.84/668,491.80 = 382,407.76/x
  3. Step 3: Cross multiply
    445,075.84x = 668,491.80 × 382,407.76
  4. Step 4: Simplify right side
    445,075.84x = 255,636,451,816.37
  5. Step 5: Solve for x
    x = 255,636,451,816.37/445,075.84
  6. Step 6: Final answer
    x = 574,366.05

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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.