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Finding the Fourth Proportional to 329,615.40, 494,714.70 and 282,376.20

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Solution

The fourth proportional to 329,615.40, 494,714.70 and 282,376.20 is: 423,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,615.40 : 494,714.70 = 282,376.20 : x
  2. Step 2: Convert to fraction form
    329,615.40/494,714.70 = 282,376.20/x
  3. Step 3: Cross multiply
    329,615.40x = 494,714.70 × 282,376.20
  4. Step 4: Simplify right side
    329,615.40x = 139,695,657,070.14
  5. Step 5: Solve for x
    x = 139,695,657,070.14/329,615.40
  6. Step 6: Final answer
    x = 423,814.11

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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.