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Finding the Fourth Proportional to 321,140.16, 443,319.84 and 229,328.64

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Solution

The fourth proportional to 321,140.16, 443,319.84 and 229,328.64 is: 316,578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,140.16 : 443,319.84 = 229,328.64 : x
  2. Step 2: Convert to fraction form
    321,140.16/443,319.84 = 229,328.64/x
  3. Step 3: Cross multiply
    321,140.16x = 443,319.84 × 229,328.64
  4. Step 4: Simplify right side
    321,140.16x = 101,665,935,992.22
  5. Step 5: Solve for x
    x = 101,665,935,992.22/321,140.16
  6. Step 6: Final answer
    x = 316,578.08

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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.