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Finding the Fourth Proportional to 289,785.83, 434,681.78 and 79,423.76

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Solution

The fourth proportional to 289,785.83, 434,681.78 and 79,423.76 is: 119,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,785.83 : 434,681.78 = 79,423.76 : x
  2. Step 2: Convert to fraction form
    289,785.83/434,681.78 = 79,423.76/x
  3. Step 3: Cross multiply
    289,785.83x = 434,681.78 × 79,423.76
  4. Step 4: Simplify right side
    289,785.83x = 34,524,062,060.68
  5. Step 5: Solve for x
    x = 34,524,062,060.68/289,785.83
  6. Step 6: Final answer
    x = 119,136.48

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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.