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Finding the Fourth Proportional to 321,713.64, 482,492.70 and 134,865

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Solution

The fourth proportional to 321,713.64, 482,492.70 and 134,865 is: 202,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,713.64 : 482,492.70 = 134,865 : x
  2. Step 2: Convert to fraction form
    321,713.64/482,492.70 = 134,865/x
  3. Step 3: Cross multiply
    321,713.64x = 482,492.70 × 134,865
  4. Step 4: Simplify right side
    321,713.64x = 65,071,377,985.50
  5. Step 5: Solve for x
    x = 65,071,377,985.50/321,713.64
  6. Step 6: Final answer
    x = 202,264.90

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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.