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Finding the Fourth Proportional to 321,678.40, 482,521.06 and 97,040.78

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Solution

The fourth proportional to 321,678.40, 482,521.06 and 97,040.78 is: 145,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,678.40 : 482,521.06 = 97,040.78 : x
  2. Step 2: Convert to fraction form
    321,678.40/482,521.06 = 97,040.78/x
  3. Step 3: Cross multiply
    321,678.40x = 482,521.06 × 97,040.78
  4. Step 4: Simplify right side
    321,678.40x = 46,824,218,730.08
  5. Step 5: Solve for x
    x = 46,824,218,730.08/321,678.40
  6. Step 6: Final answer
    x = 145,562.21

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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.