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Finding the Fourth Proportional to 528,902.52, 729,782.83 and 314,109.96

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Solution

The fourth proportional to 528,902.52, 729,782.83 and 314,109.96 is: 433,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,902.52 : 729,782.83 = 314,109.96 : x
  2. Step 2: Convert to fraction form
    528,902.52/729,782.83 = 314,109.96/x
  3. Step 3: Cross multiply
    528,902.52x = 729,782.83 × 314,109.96
  4. Step 4: Simplify right side
    528,902.52x = 229,232,055,539.99
  5. Step 5: Solve for x
    x = 229,232,055,539.99/528,902.52
  6. Step 6: Final answer
    x = 433,410.78

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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.