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Finding the Fourth Proportional to 321,603.40, 482,405.10 and 197,187.40

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Solution

The fourth proportional to 321,603.40, 482,405.10 and 197,187.40 is: 295,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,603.40 : 482,405.10 = 197,187.40 : x
  2. Step 2: Convert to fraction form
    321,603.40/482,405.10 = 197,187.40/x
  3. Step 3: Cross multiply
    321,603.40x = 482,405.10 × 197,187.40
  4. Step 4: Simplify right side
    321,603.40x = 95,124,207,415.74
  5. Step 5: Solve for x
    x = 95,124,207,415.74/321,603.40
  6. Step 6: Final answer
    x = 295,781.10

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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.