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Finding the Fourth Proportional to 557,461.80, 769,268.22 and 302,812.68

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Solution

The fourth proportional to 557,461.80, 769,268.22 and 302,812.68 is: 417,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,461.80 : 769,268.22 = 302,812.68 : x
  2. Step 2: Convert to fraction form
    557,461.80/769,268.22 = 302,812.68/x
  3. Step 3: Cross multiply
    557,461.80x = 769,268.22 × 302,812.68
  4. Step 4: Simplify right side
    557,461.80x = 232,944,171,337.03
  5. Step 5: Solve for x
    x = 232,944,171,337.03/557,461.80
  6. Step 6: Final answer
    x = 417,865.71

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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.