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Finding the Fourth Proportional to 556,964.64, 768,611.52 and 302,315.76

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Solution

The fourth proportional to 556,964.64, 768,611.52 and 302,315.76 is: 417,195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,964.64 : 768,611.52 = 302,315.76 : x
  2. Step 2: Convert to fraction form
    556,964.64/768,611.52 = 302,315.76/x
  3. Step 3: Cross multiply
    556,964.64x = 768,611.52 × 302,315.76
  4. Step 4: Simplify right side
    556,964.64x = 232,363,375,813.56
  5. Step 5: Solve for x
    x = 232,363,375,813.56/556,964.64
  6. Step 6: Final answer
    x = 417,195.92

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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.