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Finding the Fourth Proportional to 289,090.02, 433,602.18 and 111,581.76

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Solution

The fourth proportional to 289,090.02, 433,602.18 and 111,581.76 is: 167,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,090.02 : 433,602.18 = 111,581.76 : x
  2. Step 2: Convert to fraction form
    289,090.02/433,602.18 = 111,581.76/x
  3. Step 3: Cross multiply
    289,090.02x = 433,602.18 × 111,581.76
  4. Step 4: Simplify right side
    289,090.02x = 48,382,094,384.24
  5. Step 5: Solve for x
    x = 48,382,094,384.24/289,090.02
  6. Step 6: Final answer
    x = 167,359.96

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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.