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Finding the Fourth Proportional to 529,828.74, 731,160 and 288,111.51

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Solution

The fourth proportional to 529,828.74, 731,160 and 288,111.51 is: 397,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,828.74 : 731,160 = 288,111.51 : x
  2. Step 2: Convert to fraction form
    529,828.74/731,160 = 288,111.51/x
  3. Step 3: Cross multiply
    529,828.74x = 731,160 × 288,111.51
  4. Step 4: Simplify right side
    529,828.74x = 210,655,611,651.60
  5. Step 5: Solve for x
    x = 210,655,611,651.60/529,828.74
  6. Step 6: Final answer
    x = 397,591.89

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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.