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Finding the Fourth Proportional to 557,309.04, 769,092.12 and 302,665.20

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Solution

The fourth proportional to 557,309.04, 769,092.12 and 302,665.20 is: 417,681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,309.04 : 769,092.12 = 302,665.20 : x
  2. Step 2: Convert to fraction form
    557,309.04/769,092.12 = 302,665.20/x
  3. Step 3: Cross multiply
    557,309.04x = 769,092.12 × 302,665.20
  4. Step 4: Simplify right side
    557,309.04x = 232,777,420,318.22
  5. Step 5: Solve for x
    x = 232,777,420,318.22/557,309.04
  6. Step 6: Final answer
    x = 417,681.04

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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.