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Finding the Fourth Proportional to 431,237.60, 646,856.40 and 194,847.20

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Solution

The fourth proportional to 431,237.60, 646,856.40 and 194,847.20 is: 292,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,237.60 : 646,856.40 = 194,847.20 : x
  2. Step 2: Convert to fraction form
    431,237.60/646,856.40 = 194,847.20/x
  3. Step 3: Cross multiply
    431,237.60x = 646,856.40 × 194,847.20
  4. Step 4: Simplify right side
    431,237.60x = 126,038,158,342.08
  5. Step 5: Solve for x
    x = 126,038,158,342.08/431,237.60
  6. Step 6: Final answer
    x = 292,270.80

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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.