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Finding the Fourth Proportional to 353,096.96, 487,430.88 and 209,903.36

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Solution

The fourth proportional to 353,096.96, 487,430.88 and 209,903.36 is: 289,760.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,096.96 : 487,430.88 = 209,903.36 : x
  2. Step 2: Convert to fraction form
    353,096.96/487,430.88 = 209,903.36/x
  3. Step 3: Cross multiply
    353,096.96x = 487,430.88 × 209,903.36
  4. Step 4: Simplify right side
    353,096.96x = 102,313,379,479.76
  5. Step 5: Solve for x
    x = 102,313,379,479.76/353,096.96
  6. Step 6: Final answer
    x = 289,760.01

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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.