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Finding the Fourth Proportional to 563,548.84, 776,390.34 and 393,513.64

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Solution

The fourth proportional to 563,548.84, 776,390.34 and 393,513.64 is: 542,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,548.84 : 776,390.34 = 393,513.64 : x
  2. Step 2: Convert to fraction form
    563,548.84/776,390.34 = 393,513.64/x
  3. Step 3: Cross multiply
    563,548.84x = 776,390.34 × 393,513.64
  4. Step 4: Simplify right side
    563,548.84x = 305,520,188,754.24
  5. Step 5: Solve for x
    x = 305,520,188,754.24/563,548.84
  6. Step 6: Final answer
    x = 542,136.13

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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.