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Finding the Fourth Proportional to 564,997.10, 779,701.72 and 306,876.54

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Solution

The fourth proportional to 564,997.10, 779,701.72 and 306,876.54 is: 423,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,997.10 : 779,701.72 = 306,876.54 : x
  2. Step 2: Convert to fraction form
    564,997.10/779,701.72 = 306,876.54/x
  3. Step 3: Cross multiply
    564,997.10x = 779,701.72 × 306,876.54
  4. Step 4: Simplify right side
    564,997.10x = 239,272,164,178.55
  5. Step 5: Solve for x
    x = 239,272,164,178.55/564,997.10
  6. Step 6: Final answer
    x = 423,492.73

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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.