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Finding the Fourth Proportional to 205,122.40, 307,683.60 and 170,101.60

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Solution

The fourth proportional to 205,122.40, 307,683.60 and 170,101.60 is: 255,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,122.40 : 307,683.60 = 170,101.60 : x
  2. Step 2: Convert to fraction form
    205,122.40/307,683.60 = 170,101.60/x
  3. Step 3: Cross multiply
    205,122.40x = 307,683.60 × 170,101.60
  4. Step 4: Simplify right side
    205,122.40x = 52,337,472,653.76
  5. Step 5: Solve for x
    x = 52,337,472,653.76/205,122.40
  6. Step 6: Final answer
    x = 255,152.40

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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.