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Finding the Fourth Proportional to 557,622.32, 769,525.80 and 302,977.76

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Solution

The fourth proportional to 557,622.32, 769,525.80 and 302,977.76 is: 418,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,622.32 : 769,525.80 = 302,977.76 : x
  2. Step 2: Convert to fraction form
    557,622.32/769,525.80 = 302,977.76/x
  3. Step 3: Cross multiply
    557,622.32x = 769,525.80 × 302,977.76
  4. Step 4: Simplify right side
    557,622.32x = 233,149,203,146.21
  5. Step 5: Solve for x
    x = 233,149,203,146.21/557,622.32
  6. Step 6: Final answer
    x = 418,113.11

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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.