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Finding the Fourth Proportional to 528,165.76, 728,961.92 and 313,424.24

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Solution

The fourth proportional to 528,165.76, 728,961.92 and 313,424.24 is: 432,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,165.76 : 728,961.92 = 313,424.24 : x
  2. Step 2: Convert to fraction form
    528,165.76/728,961.92 = 313,424.24/x
  3. Step 3: Cross multiply
    528,165.76x = 728,961.92 × 313,424.24
  4. Step 4: Simplify right side
    528,165.76x = 228,474,335,764.94
  5. Step 5: Solve for x
    x = 228,474,335,764.94/528,165.76
  6. Step 6: Final answer
    x = 432,580.74

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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.