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Finding the Fourth Proportional to 208,218.40, 312,327.60 and 83,648.80

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Solution

The fourth proportional to 208,218.40, 312,327.60 and 83,648.80 is: 125,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,218.40 : 312,327.60 = 83,648.80 : x
  2. Step 2: Convert to fraction form
    208,218.40/312,327.60 = 83,648.80/x
  3. Step 3: Cross multiply
    208,218.40x = 312,327.60 × 83,648.80
  4. Step 4: Simplify right side
    208,218.40x = 26,125,828,946.88
  5. Step 5: Solve for x
    x = 26,125,828,946.88/208,218.40
  6. Step 6: Final answer
    x = 125,473.20

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1.5x scale

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.