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Finding the Fourth Proportional to 209,353.30, 313,779.76 and 76,077.52

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Solution

The fourth proportional to 209,353.30, 313,779.76 and 76,077.52 is: 114,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,353.30 : 313,779.76 = 76,077.52 : x
  2. Step 2: Convert to fraction form
    209,353.30/313,779.76 = 76,077.52/x
  3. Step 3: Cross multiply
    209,353.30x = 313,779.76 × 76,077.52
  4. Step 4: Simplify right side
    209,353.30x = 23,871,585,967.00
  5. Step 5: Solve for x
    x = 23,871,585,967.00/209,353.30
  6. Step 6: Final answer
    x = 114,025.36

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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.