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Finding the Fourth Proportional to 645,470.76, 967,320.40 and 408,389.03

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Solution

The fourth proportional to 645,470.76, 967,320.40 and 408,389.03 is: 612,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,470.76 : 967,320.40 = 408,389.03 : x
  2. Step 2: Convert to fraction form
    645,470.76/967,320.40 = 408,389.03/x
  3. Step 3: Cross multiply
    645,470.76x = 967,320.40 × 408,389.03
  4. Step 4: Simplify right side
    645,470.76x = 395,043,039,855.21
  5. Step 5: Solve for x
    x = 395,043,039,855.21/645,470.76
  6. Step 6: Final answer
    x = 612,023.14

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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.