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Finding the Fourth Proportional to 289,685.28, 399,765.60 and 176,508.48

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Solution

The fourth proportional to 289,685.28, 399,765.60 and 176,508.48 is: 243,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,685.28 : 399,765.60 = 176,508.48 : x
  2. Step 2: Convert to fraction form
    289,685.28/399,765.60 = 176,508.48/x
  3. Step 3: Cross multiply
    289,685.28x = 399,765.60 × 176,508.48
  4. Step 4: Simplify right side
    289,685.28x = 70,562,018,412.29
  5. Step 5: Solve for x
    x = 70,562,018,412.29/289,685.28
  6. Step 6: Final answer
    x = 243,581.65

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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.