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Finding the Fourth Proportional to 409,720.68, 614,653.71 and 125,404.95

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Solution

The fourth proportional to 409,720.68, 614,653.71 and 125,404.95 is: 188,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,720.68 : 614,653.71 = 125,404.95 : x
  2. Step 2: Convert to fraction form
    409,720.68/614,653.71 = 125,404.95/x
  3. Step 3: Cross multiply
    409,720.68x = 614,653.71 × 125,404.95
  4. Step 4: Simplify right side
    409,720.68x = 77,080,617,769.86
  5. Step 5: Solve for x
    x = 77,080,617,769.86/409,720.68
  6. Step 6: Final answer
    x = 188,129.67

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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.