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Finding the Fourth Proportional to 289,663.76, 399,752.43 and 162,347.57

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Solution

The fourth proportional to 289,663.76, 399,752.43 and 162,347.57 is: 224,048.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,663.76 : 399,752.43 = 162,347.57 : x
  2. Step 2: Convert to fraction form
    289,663.76/399,752.43 = 162,347.57/x
  3. Step 3: Cross multiply
    289,663.76x = 399,752.43 × 162,347.57
  4. Step 4: Simplify right side
    289,663.76x = 64,898,835,612.10
  5. Step 5: Solve for x
    x = 64,898,835,612.10/289,663.76
  6. Step 6: Final answer
    x = 224,048.86

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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.