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Finding the Fourth Proportional to 419,595.86, 579,256.72 and 284,344.40

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Solution

The fourth proportional to 419,595.86, 579,256.72 and 284,344.40 is: 392,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,595.86 : 579,256.72 = 284,344.40 : x
  2. Step 2: Convert to fraction form
    419,595.86/579,256.72 = 284,344.40/x
  3. Step 3: Cross multiply
    419,595.86x = 579,256.72 × 284,344.40
  4. Step 4: Simplify right side
    419,595.86x = 164,708,400,887.22
  5. Step 5: Solve for x
    x = 164,708,400,887.22/419,595.86
  6. Step 6: Final answer
    x = 392,540.58

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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.