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Finding the Fourth Proportional to 321,089.64, 442,984.74 and 207,974.76

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Solution

The fourth proportional to 321,089.64, 442,984.74 and 207,974.76 is: 286,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,089.64 : 442,984.74 = 207,974.76 : x
  2. Step 2: Convert to fraction form
    321,089.64/442,984.74 = 207,974.76/x
  3. Step 3: Cross multiply
    321,089.64x = 442,984.74 × 207,974.76
  4. Step 4: Simplify right side
    321,089.64x = 92,129,644,985.16
  5. Step 5: Solve for x
    x = 92,129,644,985.16/321,089.64
  6. Step 6: Final answer
    x = 286,928.11

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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.