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Finding the Fourth Proportional to 753,171, 1,039,468.14 and 435,219

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Solution

The fourth proportional to 753,171, 1,039,468.14 and 435,219 is: 600,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,171 : 1,039,468.14 = 435,219 : x
  2. Step 2: Convert to fraction form
    753,171/1,039,468.14 = 435,219/x
  3. Step 3: Cross multiply
    753,171x = 1,039,468.14 × 435,219
  4. Step 4: Simplify right side
    753,171x = 452,396,284,422.66
  5. Step 5: Solve for x
    x = 452,396,284,422.66/753,171
  6. Step 6: Final answer
    x = 600,655.47

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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.