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Finding the Fourth Proportional to 475,399.74, 656,052.57 and 260,547.78

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Solution

The fourth proportional to 475,399.74, 656,052.57 and 260,547.78 is: 359,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,399.74 : 656,052.57 = 260,547.78 : x
  2. Step 2: Convert to fraction form
    475,399.74/656,052.57 = 260,547.78/x
  3. Step 3: Cross multiply
    475,399.74x = 656,052.57 × 260,547.78
  4. Step 4: Simplify right side
    475,399.74x = 170,933,040,676.80
  5. Step 5: Solve for x
    x = 170,933,040,676.80/475,399.74
  6. Step 6: Final answer
    x = 359,556.45

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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.