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Finding the Fourth Proportional to 564,742.63, 779,398.96 and 322,977.98

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Solution

The fourth proportional to 564,742.63, 779,398.96 and 322,977.98 is: 445,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,742.63 : 779,398.96 = 322,977.98 : x
  2. Step 2: Convert to fraction form
    564,742.63/779,398.96 = 322,977.98/x
  3. Step 3: Cross multiply
    564,742.63x = 779,398.96 × 322,977.98
  4. Step 4: Simplify right side
    564,742.63x = 251,728,703,461.54
  5. Step 5: Solve for x
    x = 251,728,703,461.54/564,742.63
  6. Step 6: Final answer
    x = 445,740.57

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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.