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Finding the Fourth Proportional to 403,966.40, 605,560.80 and 313,959.20

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Solution

The fourth proportional to 403,966.40, 605,560.80 and 313,959.20 is: 470,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,966.40 : 605,560.80 = 313,959.20 : x
  2. Step 2: Convert to fraction form
    403,966.40/605,560.80 = 313,959.20/x
  3. Step 3: Cross multiply
    403,966.40x = 605,560.80 × 313,959.20
  4. Step 4: Simplify right side
    403,966.40x = 190,121,384,319.36
  5. Step 5: Solve for x
    x = 190,121,384,319.36/403,966.40
  6. Step 6: Final answer
    x = 470,636.63

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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.