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Finding the Fourth Proportional to 478,165.36, 717,369 and 343,384.24

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Solution

The fourth proportional to 478,165.36, 717,369 and 343,384.24 is: 515,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,165.36 : 717,369 = 343,384.24 : x
  2. Step 2: Convert to fraction form
    478,165.36/717,369 = 343,384.24/x
  3. Step 3: Cross multiply
    478,165.36x = 717,369 × 343,384.24
  4. Step 4: Simplify right side
    478,165.36x = 246,333,208,864.56
  5. Step 5: Solve for x
    x = 246,333,208,864.56/478,165.36
  6. Step 6: Final answer
    x = 515,163.22

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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.