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Finding the Fourth Proportional to 557,162.96, 768,842.89 and 315,390.11

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Solution

The fourth proportional to 557,162.96, 768,842.89 and 315,390.11 is: 435,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,162.96 : 768,842.89 = 315,390.11 : x
  2. Step 2: Convert to fraction form
    557,162.96/768,842.89 = 315,390.11/x
  3. Step 3: Cross multiply
    557,162.96x = 768,842.89 × 315,390.11
  4. Step 4: Simplify right side
    557,162.96x = 242,485,439,017.13
  5. Step 5: Solve for x
    x = 242,485,439,017.13/557,162.96
  6. Step 6: Final answer
    x = 435,214.58

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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.