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Finding the Fourth Proportional to 829,323, 1,144,818.77 and 557,548.46

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Solution

The fourth proportional to 829,323, 1,144,818.77 and 557,548.46 is: 769,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,323 : 1,144,818.77 = 557,548.46 : x
  2. Step 2: Convert to fraction form
    829,323/1,144,818.77 = 557,548.46/x
  3. Step 3: Cross multiply
    829,323x = 1,144,818.77 × 557,548.46
  4. Step 4: Simplify right side
    829,323x = 638,291,933,680.76
  5. Step 5: Solve for x
    x = 638,291,933,680.76/829,323
  6. Step 6: Final answer
    x = 769,654.20

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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.