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Finding the Fourth Proportional to 288,892.70, 432,984.11 and 162,266.76

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Solution

The fourth proportional to 288,892.70, 432,984.11 and 162,266.76 is: 243,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,892.70 : 432,984.11 = 162,266.76 : x
  2. Step 2: Convert to fraction form
    288,892.70/432,984.11 = 162,266.76/x
  3. Step 3: Cross multiply
    288,892.70x = 432,984.11 × 162,266.76
  4. Step 4: Simplify right side
    288,892.70x = 70,258,927,849.85
  5. Step 5: Solve for x
    x = 70,258,927,849.85/288,892.70
  6. Step 6: Final answer
    x = 243,200.78

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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.