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Finding the Fourth Proportional to 564,770.58, 779,384.34 and 310,137.90

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Solution

The fourth proportional to 564,770.58, 779,384.34 and 310,137.90 is: 427,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,770.58 : 779,384.34 = 310,137.90 : x
  2. Step 2: Convert to fraction form
    564,770.58/779,384.34 = 310,137.90/x
  3. Step 3: Cross multiply
    564,770.58x = 779,384.34 × 310,137.90
  4. Step 4: Simplify right side
    564,770.58x = 241,716,622,500.49
  5. Step 5: Solve for x
    x = 241,716,622,500.49/564,770.58
  6. Step 6: Final answer
    x = 427,990.82

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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.