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Finding the Fourth Proportional to 403,547.40, 605,090.70 and 166,609.80

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Solution

The fourth proportional to 403,547.40, 605,090.70 and 166,609.80 is: 249,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,547.40 : 605,090.70 = 166,609.80 : x
  2. Step 2: Convert to fraction form
    403,547.40/605,090.70 = 166,609.80/x
  3. Step 3: Cross multiply
    403,547.40x = 605,090.70 × 166,609.80
  4. Step 4: Simplify right side
    403,547.40x = 100,814,040,508.86
  5. Step 5: Solve for x
    x = 100,814,040,508.86/403,547.40
  6. Step 6: Final answer
    x = 249,819.58

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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.