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Finding the Fourth Proportional to 298,420.72, 411,875.80 and 171,097.20

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Solution

The fourth proportional to 298,420.72, 411,875.80 and 171,097.20 is: 236,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,420.72 : 411,875.80 = 171,097.20 : x
  2. Step 2: Convert to fraction form
    298,420.72/411,875.80 = 171,097.20/x
  3. Step 3: Cross multiply
    298,420.72x = 411,875.80 × 171,097.20
  4. Step 4: Simplify right side
    298,420.72x = 70,470,796,127.76
  5. Step 5: Solve for x
    x = 70,470,796,127.76/298,420.72
  6. Step 6: Final answer
    x = 236,145.79

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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.