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Finding the Fourth Proportional to 419,630.47, 579,090.14 and 228,643.86

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Solution

The fourth proportional to 419,630.47, 579,090.14 and 228,643.86 is: 315,528.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,630.47 : 579,090.14 = 228,643.86 : x
  2. Step 2: Convert to fraction form
    419,630.47/579,090.14 = 228,643.86/x
  3. Step 3: Cross multiply
    419,630.47x = 579,090.14 × 228,643.86
  4. Step 4: Simplify right side
    419,630.47x = 132,405,406,140.26
  5. Step 5: Solve for x
    x = 132,405,406,140.26/419,630.47
  6. Step 6: Final answer
    x = 315,528.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.