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Finding the Fourth Proportional to 645,089.80, 968,072.10 and 419,901.70

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Solution

The fourth proportional to 645,089.80, 968,072.10 and 419,901.70 is: 630,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,089.80 : 968,072.10 = 419,901.70 : x
  2. Step 2: Convert to fraction form
    645,089.80/968,072.10 = 419,901.70/x
  3. Step 3: Cross multiply
    645,089.80x = 968,072.10 × 419,901.70
  4. Step 4: Simplify right side
    645,089.80x = 406,495,120,512.57
  5. Step 5: Solve for x
    x = 406,495,120,512.57/645,089.80
  6. Step 6: Final answer
    x = 630,137.26

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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.