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Finding the Fourth Proportional to 321,915.20, 482,870.40 and 97,275.20

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Solution

The fourth proportional to 321,915.20, 482,870.40 and 97,275.20 is: 145,912.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,915.20 : 482,870.40 = 97,275.20 : x
  2. Step 2: Convert to fraction form
    321,915.20/482,870.40 = 97,275.20/x
  3. Step 3: Cross multiply
    321,915.20x = 482,870.40 × 97,275.20
  4. Step 4: Simplify right side
    321,915.20x = 46,971,314,734.08
  5. Step 5: Solve for x
    x = 46,971,314,734.08/321,915.20
  6. Step 6: Final answer
    x = 145,912.07

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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.