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Finding the Fourth Proportional to 279,106.92, 385,151.76 and 151,782.48

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Solution

The fourth proportional to 279,106.92, 385,151.76 and 151,782.48 is: 209,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,106.92 : 385,151.76 = 151,782.48 : x
  2. Step 2: Convert to fraction form
    279,106.92/385,151.76 = 151,782.48/x
  3. Step 3: Cross multiply
    279,106.92x = 385,151.76 × 151,782.48
  4. Step 4: Simplify right side
    279,106.92x = 58,459,289,309.16
  5. Step 5: Solve for x
    x = 58,459,289,309.16/279,106.92
  6. Step 6: Final answer
    x = 209,451.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.