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Finding the Fourth Proportional to 325,570.80, 488,210.40 and 147,986.40

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Solution

The fourth proportional to 325,570.80, 488,210.40 and 147,986.40 is: 221,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,570.80 : 488,210.40 = 147,986.40 : x
  2. Step 2: Convert to fraction form
    325,570.80/488,210.40 = 147,986.40/x
  3. Step 3: Cross multiply
    325,570.80x = 488,210.40 × 147,986.40
  4. Step 4: Simplify right side
    325,570.80x = 72,248,499,538.56
  5. Step 5: Solve for x
    x = 72,248,499,538.56/325,570.80
  6. Step 6: Final answer
    x = 221,913.33

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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.