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Finding the Fourth Proportional to 321,402.47, 481,808.45 and 171,746.06

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Solution

The fourth proportional to 321,402.47, 481,808.45 and 171,746.06 is: 257,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,402.47 : 481,808.45 = 171,746.06 : x
  2. Step 2: Convert to fraction form
    321,402.47/481,808.45 = 171,746.06/x
  3. Step 3: Cross multiply
    321,402.47x = 481,808.45 × 171,746.06
  4. Step 4: Simplify right side
    321,402.47x = 82,748,700,982.53
  5. Step 5: Solve for x
    x = 82,748,700,982.53/321,402.47
  6. Step 6: Final answer
    x = 257,461.31

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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.