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Finding the Fourth Proportional to 419,978.23, 629,733.66 and 249,269.32

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Solution

The fourth proportional to 419,978.23, 629,733.66 and 249,269.32 is: 373,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,978.23 : 629,733.66 = 249,269.32 : x
  2. Step 2: Convert to fraction form
    419,978.23/629,733.66 = 249,269.32/x
  3. Step 3: Cross multiply
    419,978.23x = 629,733.66 × 249,269.32
  4. Step 4: Simplify right side
    419,978.23x = 156,973,281,209.31
  5. Step 5: Solve for x
    x = 156,973,281,209.31/419,978.23
  6. Step 6: Final answer
    x = 373,765.28

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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.