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Finding the Fourth Proportional to 298,047.68, 411,289.16 and 170,731.47

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Solution

The fourth proportional to 298,047.68, 411,289.16 and 170,731.47 is: 235,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,047.68 : 411,289.16 = 170,731.47 : x
  2. Step 2: Convert to fraction form
    298,047.68/411,289.16 = 170,731.47/x
  3. Step 3: Cross multiply
    298,047.68x = 411,289.16 × 170,731.47
  4. Step 4: Simplify right side
    298,047.68x = 70,220,002,881.87
  5. Step 5: Solve for x
    x = 70,220,002,881.87/298,047.68
  6. Step 6: Final answer
    x = 235,599.90

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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.