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Finding the Fourth Proportional to 873,216, 1,309,824.64 and 348,272.64

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Solution

The fourth proportional to 873,216, 1,309,824.64 and 348,272.64 is: 522,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,216 : 1,309,824.64 = 348,272.64 : x
  2. Step 2: Convert to fraction form
    873,216/1,309,824.64 = 348,272.64/x
  3. Step 3: Cross multiply
    873,216x = 1,309,824.64 × 348,272.64
  4. Step 4: Simplify right side
    873,216x = 456,176,085,309.85
  5. Step 5: Solve for x
    x = 456,176,085,309.85/873,216
  6. Step 6: Final answer
    x = 522,409.22

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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.