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Finding the Fourth Proportional to 288,152.71, 432,533.42 and 161,900.84

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Solution

The fourth proportional to 288,152.71, 432,533.42 and 161,900.84 is: 243,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,152.71 : 432,533.42 = 161,900.84 : x
  2. Step 2: Convert to fraction form
    288,152.71/432,533.42 = 161,900.84/x
  3. Step 3: Cross multiply
    288,152.71x = 432,533.42 × 161,900.84
  4. Step 4: Simplify right side
    288,152.71x = 70,027,524,905.03
  5. Step 5: Solve for x
    x = 70,027,524,905.03/288,152.71
  6. Step 6: Final answer
    x = 243,022.27

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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.