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Finding the Fourth Proportional to 557,489.92, 769,344.32 and 302,846.08

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Solution

The fourth proportional to 557,489.92, 769,344.32 and 302,846.08 is: 417,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,489.92 : 769,344.32 = 302,846.08 : x
  2. Step 2: Convert to fraction form
    557,489.92/769,344.32 = 302,846.08/x
  3. Step 3: Cross multiply
    557,489.92x = 769,344.32 × 302,846.08
  4. Step 4: Simplify right side
    557,489.92x = 232,992,911,482.27
  5. Step 5: Solve for x
    x = 232,992,911,482.27/557,489.92
  6. Step 6: Final answer
    x = 417,932.06

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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.