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Finding the Fourth Proportional to 559,308.16, 771,852 and 304,661.44

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Solution

The fourth proportional to 559,308.16, 771,852 and 304,661.44 is: 420,436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,308.16 : 771,852 = 304,661.44 : x
  2. Step 2: Convert to fraction form
    559,308.16/771,852 = 304,661.44/x
  3. Step 3: Cross multiply
    559,308.16x = 771,852 × 304,661.44
  4. Step 4: Simplify right side
    559,308.16x = 235,153,541,786.88
  5. Step 5: Solve for x
    x = 235,153,541,786.88/559,308.16
  6. Step 6: Final answer
    x = 420,436.46

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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.