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Finding the Fourth Proportional to 243,259.90, 363,905.70 and 213,735.40

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Solution

The fourth proportional to 243,259.90, 363,905.70 and 213,735.40 is: 319,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,259.90 : 363,905.70 = 213,735.40 : x
  2. Step 2: Convert to fraction form
    243,259.90/363,905.70 = 213,735.40/x
  3. Step 3: Cross multiply
    243,259.90x = 363,905.70 × 213,735.40
  4. Step 4: Simplify right side
    243,259.90x = 77,779,530,351.78
  5. Step 5: Solve for x
    x = 77,779,530,351.78/243,259.90
  6. Step 6: Final answer
    x = 319,738.40

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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.