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Finding the Fourth Proportional to 410,878.40, 616,317.60 and 130,417.60

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Solution

The fourth proportional to 410,878.40, 616,317.60 and 130,417.60 is: 195,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,878.40 : 616,317.60 = 130,417.60 : x
  2. Step 2: Convert to fraction form
    410,878.40/616,317.60 = 130,417.60/x
  3. Step 3: Cross multiply
    410,878.40x = 616,317.60 × 130,417.60
  4. Step 4: Simplify right side
    410,878.40x = 80,378,662,229.76
  5. Step 5: Solve for x
    x = 80,378,662,229.76/410,878.40
  6. Step 6: Final answer
    x = 195,626.40

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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.