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Finding the Fourth Proportional to 645,878.47, 967,931.96 and 408,797.95

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Solution

The fourth proportional to 645,878.47, 967,931.96 and 408,797.95 is: 612,636.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,878.47 : 967,931.96 = 408,797.95 : x
  2. Step 2: Convert to fraction form
    645,878.47/967,931.96 = 408,797.95/x
  3. Step 3: Cross multiply
    645,878.47x = 967,931.96 × 408,797.95
  4. Step 4: Simplify right side
    645,878.47x = 395,688,600,987.48
  5. Step 5: Solve for x
    x = 395,688,600,987.48/645,878.47
  6. Step 6: Final answer
    x = 612,636.31

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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.