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Finding the Fourth Proportional to 542,564.40, 814,235.40 and 305,655.60

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Solution

The fourth proportional to 542,564.40, 814,235.40 and 305,655.60 is: 458,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,564.40 : 814,235.40 = 305,655.60 : x
  2. Step 2: Convert to fraction form
    542,564.40/814,235.40 = 305,655.60/x
  3. Step 3: Cross multiply
    542,564.40x = 814,235.40 × 305,655.60
  4. Step 4: Simplify right side
    542,564.40x = 248,875,609,728.24
  5. Step 5: Solve for x
    x = 248,875,609,728.24/542,564.40
  6. Step 6: Final answer
    x = 458,702.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.