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Finding the Fourth Proportional to 529,955.88, 731,348.52 and 288,243.72

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Solution

The fourth proportional to 529,955.88, 731,348.52 and 288,243.72 is: 397,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,955.88 : 731,348.52 = 288,243.72 : x
  2. Step 2: Convert to fraction form
    529,955.88/731,348.52 = 288,243.72/x
  3. Step 3: Cross multiply
    529,955.88x = 731,348.52 × 288,243.72
  4. Step 4: Simplify right side
    529,955.88x = 210,806,618,021.29
  5. Step 5: Solve for x
    x = 210,806,618,021.29/529,955.88
  6. Step 6: Final answer
    x = 397,781.45

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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.