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Finding the Fourth Proportional to 542,564.52, 814,029.11 and 380,627.35

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Solution

The fourth proportional to 542,564.52, 814,029.11 and 380,627.35 is: 571,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,564.52 : 814,029.11 = 380,627.35 : x
  2. Step 2: Convert to fraction form
    542,564.52/814,029.11 = 380,627.35/x
  3. Step 3: Cross multiply
    542,564.52x = 814,029.11 × 380,627.35
  4. Step 4: Simplify right side
    542,564.52x = 309,841,742,962.16
  5. Step 5: Solve for x
    x = 309,841,742,962.16/542,564.52
  6. Step 6: Final answer
    x = 571,068.94

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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.