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Finding the Fourth Proportional to 556,580.75, 768,082.92 and 301,931.94

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Solution

The fourth proportional to 556,580.75, 768,082.92 and 301,931.94 is: 416,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,580.75 : 768,082.92 = 301,931.94 : x
  2. Step 2: Convert to fraction form
    556,580.75/768,082.92 = 301,931.94/x
  3. Step 3: Cross multiply
    556,580.75x = 768,082.92 × 301,931.94
  4. Step 4: Simplify right side
    556,580.75x = 231,908,766,116.47
  5. Step 5: Solve for x
    x = 231,908,766,116.47/556,580.75
  6. Step 6: Final answer
    x = 416,666.88

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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.