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Finding the Fourth Proportional to 285,698.40, 428,547.60 and 254,205.60

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Solution

The fourth proportional to 285,698.40, 428,547.60 and 254,205.60 is: 381,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,698.40 : 428,547.60 = 254,205.60 : x
  2. Step 2: Convert to fraction form
    285,698.40/428,547.60 = 254,205.60/x
  3. Step 3: Cross multiply
    285,698.40x = 428,547.60 × 254,205.60
  4. Step 4: Simplify right side
    285,698.40x = 108,939,199,786.56
  5. Step 5: Solve for x
    x = 108,939,199,786.56/285,698.40
  6. Step 6: Final answer
    x = 381,308.40

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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.