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Finding the Fourth Proportional to 413,192.40, 619,788.60 and 343,208.40

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Solution

The fourth proportional to 413,192.40, 619,788.60 and 343,208.40 is: 514,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,192.40 : 619,788.60 = 343,208.40 : x
  2. Step 2: Convert to fraction form
    413,192.40/619,788.60 = 343,208.40/x
  3. Step 3: Cross multiply
    413,192.40x = 619,788.60 × 343,208.40
  4. Step 4: Simplify right side
    413,192.40x = 212,716,653,744.24
  5. Step 5: Solve for x
    x = 212,716,653,744.24/413,192.40
  6. Step 6: Final answer
    x = 514,812.60

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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.