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Finding the Fourth Proportional to 497,265.68, 686,046.66 and 325,281.86

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Solution

The fourth proportional to 497,265.68, 686,046.66 and 325,281.86 is: 448,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,265.68 : 686,046.66 = 325,281.86 : x
  2. Step 2: Convert to fraction form
    497,265.68/686,046.66 = 325,281.86/x
  3. Step 3: Cross multiply
    497,265.68x = 686,046.66 × 325,281.86
  4. Step 4: Simplify right side
    497,265.68x = 223,158,533,611.59
  5. Step 5: Solve for x
    x = 223,158,533,611.59/497,265.68
  6. Step 6: Final answer
    x = 448,771.24

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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.