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Finding the Fourth Proportional to 401,035.40, 601,553.10 and 345,739.40

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Solution

The fourth proportional to 401,035.40, 601,553.10 and 345,739.40 is: 518,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,035.40 : 601,553.10 = 345,739.40 : x
  2. Step 2: Convert to fraction form
    401,035.40/601,553.10 = 345,739.40/x
  3. Step 3: Cross multiply
    401,035.40x = 601,553.10 × 345,739.40
  4. Step 4: Simplify right side
    401,035.40x = 207,980,607,862.14
  5. Step 5: Solve for x
    x = 207,980,607,862.14/401,035.40
  6. Step 6: Final answer
    x = 518,609.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.