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Finding the Fourth Proportional to 357,714, 493,749 and 238,482

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Solution

The fourth proportional to 357,714, 493,749 and 238,482 is: 329,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,714 : 493,749 = 238,482 : x
  2. Step 2: Convert to fraction form
    357,714/493,749 = 238,482/x
  3. Step 3: Cross multiply
    357,714x = 493,749 × 238,482
  4. Step 4: Simplify right side
    357,714x = 117,750,249,018
  5. Step 5: Solve for x
    x = 117,750,249,018/357,714
  6. Step 6: Final answer
    x = 329,174.28

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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.