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Finding the Fourth Proportional to 557,735.07, 769,672.32 and 316,063.68

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Solution

The fourth proportional to 557,735.07, 769,672.32 and 316,063.68 is: 436,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,735.07 : 769,672.32 = 316,063.68 : x
  2. Step 2: Convert to fraction form
    557,735.07/769,672.32 = 316,063.68/x
  3. Step 3: Cross multiply
    557,735.07x = 769,672.32 × 316,063.68
  4. Step 4: Simplify right side
    557,735.07x = 243,265,465,853.34
  5. Step 5: Solve for x
    x = 243,265,465,853.34/557,735.07
  6. Step 6: Final answer
    x = 436,166.70

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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.