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Finding the Fourth Proportional to 542,986.84, 749,390.40 and 356,875.56

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Solution

The fourth proportional to 542,986.84, 749,390.40 and 356,875.56 is: 492,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,986.84 : 749,390.40 = 356,875.56 : x
  2. Step 2: Convert to fraction form
    542,986.84/749,390.40 = 356,875.56/x
  3. Step 3: Cross multiply
    542,986.84x = 749,390.40 × 356,875.56
  4. Step 4: Simplify right side
    542,986.84x = 267,439,118,658.62
  5. Step 5: Solve for x
    x = 267,439,118,658.62/542,986.84
  6. Step 6: Final answer
    x = 492,533.33

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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.