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Finding the Fourth Proportional to 403,989.40, 605,595.30 and 313,982.20

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Solution

The fourth proportional to 403,989.40, 605,595.30 and 313,982.20 is: 470,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,989.40 : 605,595.30 = 313,982.20 : x
  2. Step 2: Convert to fraction form
    403,989.40/605,595.30 = 313,982.20/x
  3. Step 3: Cross multiply
    403,989.40x = 605,595.30 × 313,982.20
  4. Step 4: Simplify right side
    403,989.40x = 190,146,144,603.66
  5. Step 5: Solve for x
    x = 190,146,144,603.66/403,989.40
  6. Step 6: Final answer
    x = 470,671.12

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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.