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Finding the Fourth Proportional to 497,604.94, 686,272.26 and 420,458.56

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Solution

The fourth proportional to 497,604.94, 686,272.26 and 420,458.56 is: 579,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,604.94 : 686,272.26 = 420,458.56 : x
  2. Step 2: Convert to fraction form
    497,604.94/686,272.26 = 420,458.56/x
  3. Step 3: Cross multiply
    497,604.94x = 686,272.26 × 420,458.56
  4. Step 4: Simplify right side
    497,604.94x = 288,549,046,207.55
  5. Step 5: Solve for x
    x = 288,549,046,207.55/497,604.94
  6. Step 6: Final answer
    x = 579,875.77

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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.