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Finding the Fourth Proportional to 325,036.80, 488,138.40 and 314,539.20

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Solution

The fourth proportional to 325,036.80, 488,138.40 and 314,539.20 is: 472,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,036.80 : 488,138.40 = 314,539.20 : x
  2. Step 2: Convert to fraction form
    325,036.80/488,138.40 = 314,539.20/x
  3. Step 3: Cross multiply
    325,036.80x = 488,138.40 × 314,539.20
  4. Step 4: Simplify right side
    325,036.80x = 153,538,661,825.28
  5. Step 5: Solve for x
    x = 153,538,661,825.28/325,036.80
  6. Step 6: Final answer
    x = 472,373.16

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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.