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Finding the Fourth Proportional to 429,382.94, 643,077.78 and 414,436.60

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Solution

The fourth proportional to 429,382.94, 643,077.78 and 414,436.60 is: 620,692.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,382.94 : 643,077.78 = 414,436.60 : x
  2. Step 2: Convert to fraction form
    429,382.94/643,077.78 = 414,436.60/x
  3. Step 3: Cross multiply
    429,382.94x = 643,077.78 × 414,436.60
  4. Step 4: Simplify right side
    429,382.94x = 266,514,968,678.75
  5. Step 5: Solve for x
    x = 266,514,968,678.75/429,382.94
  6. Step 6: Final answer
    x = 620,692.96

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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.