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Finding the Fourth Proportional to 273,139.20, 409,708.80 and 139,975.20

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Solution

The fourth proportional to 273,139.20, 409,708.80 and 139,975.20 is: 209,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,139.20 : 409,708.80 = 139,975.20 : x
  2. Step 2: Convert to fraction form
    273,139.20/409,708.80 = 139,975.20/x
  3. Step 3: Cross multiply
    273,139.20x = 409,708.80 × 139,975.20
  4. Step 4: Simplify right side
    273,139.20x = 57,349,071,221.76
  5. Step 5: Solve for x
    x = 57,349,071,221.76/273,139.20
  6. Step 6: Final answer
    x = 209,962.80

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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.