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Finding the Fourth Proportional to 557,690.96, 769,610.86 and 315,973.08

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Solution

The fourth proportional to 557,690.96, 769,610.86 and 315,973.08 is: 436,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,690.96 : 769,610.86 = 315,973.08 : x
  2. Step 2: Convert to fraction form
    557,690.96/769,610.86 = 315,973.08/x
  3. Step 3: Cross multiply
    557,690.96x = 769,610.86 × 315,973.08
  4. Step 4: Simplify right side
    557,690.96x = 243,176,313,835.65
  5. Step 5: Solve for x
    x = 243,176,313,835.65/557,690.96
  6. Step 6: Final answer
    x = 436,041.34

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1.5x scale

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.