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Finding the Fourth Proportional to 438,784.40, 658,176.60 and 409,259.90

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Solution

The fourth proportional to 438,784.40, 658,176.60 and 409,259.90 is: 613,889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,784.40 : 658,176.60 = 409,259.90 : x
  2. Step 2: Convert to fraction form
    438,784.40/658,176.60 = 409,259.90/x
  3. Step 3: Cross multiply
    438,784.40x = 658,176.60 × 409,259.90
  4. Step 4: Simplify right side
    438,784.40x = 269,365,289,498.34
  5. Step 5: Solve for x
    x = 269,365,289,498.34/438,784.40
  6. Step 6: Final answer
    x = 613,889.85

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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.