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Finding the Fourth Proportional to 564,518.34, 779,034.06 and 309,864.06

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Solution

The fourth proportional to 564,518.34, 779,034.06 and 309,864.06 is: 427,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,518.34 : 779,034.06 = 309,864.06 : x
  2. Step 2: Convert to fraction form
    564,518.34/779,034.06 = 309,864.06/x
  3. Step 3: Cross multiply
    564,518.34x = 779,034.06 × 309,864.06
  4. Step 4: Simplify right side
    564,518.34x = 241,394,656,709.88
  5. Step 5: Solve for x
    x = 241,394,656,709.88/564,518.34
  6. Step 6: Final answer
    x = 427,611.72

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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.