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Finding the Fourth Proportional to 289,565.84, 399,597 and 162,243.92

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Solution

The fourth proportional to 289,565.84, 399,597 and 162,243.92 is: 223,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,565.84 : 399,597 = 162,243.92 : x
  2. Step 2: Convert to fraction form
    289,565.84/399,597 = 162,243.92/x
  3. Step 3: Cross multiply
    289,565.84x = 399,597 × 162,243.92
  4. Step 4: Simplify right side
    289,565.84x = 64,832,183,700.24
  5. Step 5: Solve for x
    x = 64,832,183,700.24/289,565.84
  6. Step 6: Final answer
    x = 223,894.45

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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.