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Finding the Fourth Proportional to 457,181.21, 686,034.36 and 357,060.35

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Solution

The fourth proportional to 457,181.21, 686,034.36 and 357,060.35 is: 535,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,181.21 : 686,034.36 = 357,060.35 : x
  2. Step 2: Convert to fraction form
    457,181.21/686,034.36 = 357,060.35/x
  3. Step 3: Cross multiply
    457,181.21x = 686,034.36 × 357,060.35
  4. Step 4: Simplify right side
    457,181.21x = 244,955,670,408.71
  5. Step 5: Solve for x
    x = 244,955,670,408.71/457,181.21
  6. Step 6: Final answer
    x = 535,795.57

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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.