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Finding the Fourth Proportional to 419,817.60, 629,726.40 and 402,321.60

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Solution

The fourth proportional to 419,817.60, 629,726.40 and 402,321.60 is: 603,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,817.60 : 629,726.40 = 402,321.60 : x
  2. Step 2: Convert to fraction form
    419,817.60/629,726.40 = 402,321.60/x
  3. Step 3: Cross multiply
    419,817.60x = 629,726.40 × 402,321.60
  4. Step 4: Simplify right side
    419,817.60x = 253,352,532,810.24
  5. Step 5: Solve for x
    x = 253,352,532,810.24/419,817.60
  6. Step 6: Final answer
    x = 603,482.40

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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.