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Finding the Fourth Proportional to 357,671.85, 493,630.07 and 214,510.65

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Solution

The fourth proportional to 357,671.85, 493,630.07 and 214,510.65 is: 296,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,671.85 : 493,630.07 = 214,510.65 : x
  2. Step 2: Convert to fraction form
    357,671.85/493,630.07 = 214,510.65/x
  3. Step 3: Cross multiply
    357,671.85x = 493,630.07 × 214,510.65
  4. Step 4: Simplify right side
    357,671.85x = 105,888,906,102.69
  5. Step 5: Solve for x
    x = 105,888,906,102.69/357,671.85
  6. Step 6: Final answer
    x = 296,050.43

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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.