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Finding the Fourth Proportional to 406,943.60, 610,415.40 and 266,783.60

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Solution

The fourth proportional to 406,943.60, 610,415.40 and 266,783.60 is: 400,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,943.60 : 610,415.40 = 266,783.60 : x
  2. Step 2: Convert to fraction form
    406,943.60/610,415.40 = 266,783.60/x
  3. Step 3: Cross multiply
    406,943.60x = 610,415.40 × 266,783.60
  4. Step 4: Simplify right side
    406,943.60x = 162,848,817,907.44
  5. Step 5: Solve for x
    x = 162,848,817,907.44/406,943.60
  6. Step 6: Final answer
    x = 400,175.40

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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.