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Finding the Fourth Proportional to 361,643.36, 499,054.32 and 202,657.12

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Solution

The fourth proportional to 361,643.36, 499,054.32 and 202,657.12 is: 279,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,643.36 : 499,054.32 = 202,657.12 : x
  2. Step 2: Convert to fraction form
    361,643.36/499,054.32 = 202,657.12/x
  3. Step 3: Cross multiply
    361,643.36x = 499,054.32 × 202,657.12
  4. Step 4: Simplify right side
    361,643.36x = 101,136,911,214.76
  5. Step 5: Solve for x
    x = 101,136,911,214.76/361,643.36
  6. Step 6: Final answer
    x = 279,659.25

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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.