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Finding the Fourth Proportional to 289,763.51, 399,874.59 and 162,430.88

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Solution

The fourth proportional to 289,763.51, 399,874.59 and 162,430.88 is: 224,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,763.51 : 399,874.59 = 162,430.88 : x
  2. Step 2: Convert to fraction form
    289,763.51/399,874.59 = 162,430.88/x
  3. Step 3: Cross multiply
    289,763.51x = 399,874.59 × 162,430.88
  4. Step 4: Simplify right side
    289,763.51x = 64,951,979,543.97
  5. Step 5: Solve for x
    x = 64,951,979,543.97/289,763.51
  6. Step 6: Final answer
    x = 224,155.14

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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.