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Finding the Fourth Proportional to 361,294.76, 498,643.62 and 218,075.24

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Solution

The fourth proportional to 361,294.76, 498,643.62 and 218,075.24 is: 300,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,294.76 : 498,643.62 = 218,075.24 : x
  2. Step 2: Convert to fraction form
    361,294.76/498,643.62 = 218,075.24/x
  3. Step 3: Cross multiply
    361,294.76x = 498,643.62 × 218,075.24
  4. Step 4: Simplify right side
    361,294.76x = 108,741,827,105.97
  5. Step 5: Solve for x
    x = 108,741,827,105.97/361,294.76
  6. Step 6: Final answer
    x = 300,978.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.