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Finding the Fourth Proportional to 557,082.60, 768,769.86 and 302,427.24

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Solution

The fourth proportional to 557,082.60, 768,769.86 and 302,427.24 is: 417,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,082.60 : 768,769.86 = 302,427.24 : x
  2. Step 2: Convert to fraction form
    557,082.60/768,769.86 = 302,427.24/x
  3. Step 3: Cross multiply
    557,082.60x = 768,769.86 × 302,427.24
  4. Step 4: Simplify right side
    557,082.60x = 232,496,946,954.99
  5. Step 5: Solve for x
    x = 232,496,946,954.99/557,082.60
  6. Step 6: Final answer
    x = 417,347.35

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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.