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Finding the Fourth Proportional to 645,692.40, 966,234.60 and 409,148.40

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Solution

The fourth proportional to 645,692.40, 966,234.60 and 409,148.40 is: 612,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,692.40 : 966,234.60 = 409,148.40 : x
  2. Step 2: Convert to fraction form
    645,692.40/966,234.60 = 409,148.40/x
  3. Step 3: Cross multiply
    645,692.40x = 966,234.60 × 409,148.40
  4. Step 4: Simplify right side
    645,692.40x = 395,333,340,614.64
  5. Step 5: Solve for x
    x = 395,333,340,614.64/645,692.40
  6. Step 6: Final answer
    x = 612,262.65

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1.5x scale

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.