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Finding the Fourth Proportional to 529,718.82, 730,933.29 and 314,781.54

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Solution

The fourth proportional to 529,718.82, 730,933.29 and 314,781.54 is: 434,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,718.82 : 730,933.29 = 314,781.54 : x
  2. Step 2: Convert to fraction form
    529,718.82/730,933.29 = 314,781.54/x
  3. Step 3: Cross multiply
    529,718.82x = 730,933.29 × 314,781.54
  4. Step 4: Simplify right side
    529,718.82x = 230,084,306,663.47
  5. Step 5: Solve for x
    x = 230,084,306,663.47/529,718.82
  6. Step 6: Final answer
    x = 434,351.77

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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.