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Finding the Fourth Proportional to 652,649.20, 978,973.80 and 403,817.20

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Solution

The fourth proportional to 652,649.20, 978,973.80 and 403,817.20 is: 605,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,649.20 : 978,973.80 = 403,817.20 : x
  2. Step 2: Convert to fraction form
    652,649.20/978,973.80 = 403,817.20/x
  3. Step 3: Cross multiply
    652,649.20x = 978,973.80 × 403,817.20
  4. Step 4: Simplify right side
    652,649.20x = 395,326,458,789.36
  5. Step 5: Solve for x
    x = 395,326,458,789.36/652,649.20
  6. Step 6: Final answer
    x = 605,725.80

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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.