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Finding the Fourth Proportional to 357,957.90, 493,983.86 and 210,789.18

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Solution

The fourth proportional to 357,957.90, 493,983.86 and 210,789.18 is: 290,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,957.90 : 493,983.86 = 210,789.18 : x
  2. Step 2: Convert to fraction form
    357,957.90/493,983.86 = 210,789.18/x
  3. Step 3: Cross multiply
    357,957.90x = 493,983.86 × 210,789.18
  4. Step 4: Simplify right side
    357,957.90x = 104,126,451,728.69
  5. Step 5: Solve for x
    x = 104,126,451,728.69/357,957.90
  6. Step 6: Final answer
    x = 290,890.22

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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.