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Finding the Fourth Proportional to 289,640.70, 434,461.05 and 147,923.10

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Solution

The fourth proportional to 289,640.70, 434,461.05 and 147,923.10 is: 221,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,640.70 : 434,461.05 = 147,923.10 : x
  2. Step 2: Convert to fraction form
    289,640.70/434,461.05 = 147,923.10/x
  3. Step 3: Cross multiply
    289,640.70x = 434,461.05 × 147,923.10
  4. Step 4: Simplify right side
    289,640.70x = 64,266,825,345.26
  5. Step 5: Solve for x
    x = 64,266,825,345.26/289,640.70
  6. Step 6: Final answer
    x = 221,884.65

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1.5x scale

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.