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Finding the Fourth Proportional to 522,585.14, 721,298.13 and 321,264.50

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Solution

The fourth proportional to 522,585.14, 721,298.13 and 321,264.50 is: 443,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,585.14 : 721,298.13 = 321,264.50 : x
  2. Step 2: Convert to fraction form
    522,585.14/721,298.13 = 321,264.50/x
  3. Step 3: Cross multiply
    522,585.14x = 721,298.13 × 321,264.50
  4. Step 4: Simplify right side
    522,585.14x = 231,727,483,085.39
  5. Step 5: Solve for x
    x = 231,727,483,085.39/522,585.14
  6. Step 6: Final answer
    x = 443,425.32

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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.