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Finding the Fourth Proportional to 406,710.40, 610,411.20 and 327,913.60

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Solution

The fourth proportional to 406,710.40, 610,411.20 and 327,913.60 is: 492,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,710.40 : 610,411.20 = 327,913.60 : x
  2. Step 2: Convert to fraction form
    406,710.40/610,411.20 = 327,913.60/x
  3. Step 3: Cross multiply
    406,710.40x = 610,411.20 × 327,913.60
  4. Step 4: Simplify right side
    406,710.40x = 200,162,134,072.32
  5. Step 5: Solve for x
    x = 200,162,134,072.32/406,710.40
  6. Step 6: Final answer
    x = 492,149.04

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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.