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Finding the Fourth Proportional to 410,745.60, 616,183.20 and 130,291.20

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Solution

The fourth proportional to 410,745.60, 616,183.20 and 130,291.20 is: 195,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,745.60 : 616,183.20 = 130,291.20 : x
  2. Step 2: Convert to fraction form
    410,745.60/616,183.20 = 130,291.20/x
  3. Step 3: Cross multiply
    410,745.60x = 616,183.20 × 130,291.20
  4. Step 4: Simplify right side
    410,745.60x = 80,283,248,547.84
  5. Step 5: Solve for x
    x = 80,283,248,547.84/410,745.60
  6. Step 6: Final answer
    x = 195,457.35

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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.