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Finding the Fourth Proportional to 325,148.80, 487,492.80 and 147,740.80

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Solution

The fourth proportional to 325,148.80, 487,492.80 and 147,740.80 is: 221,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,148.80 : 487,492.80 = 147,740.80 : x
  2. Step 2: Convert to fraction form
    325,148.80/487,492.80 = 147,740.80/x
  3. Step 3: Cross multiply
    325,148.80x = 487,492.80 × 147,740.80
  4. Step 4: Simplify right side
    325,148.80x = 72,022,576,266.24
  5. Step 5: Solve for x
    x = 72,022,576,266.24/325,148.80
  6. Step 6: Final answer
    x = 221,506.51

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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.