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Finding the Fourth Proportional to 311,604.50, 430,005.09 and 175,646.42

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Solution

The fourth proportional to 311,604.50, 430,005.09 and 175,646.42 is: 242,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,604.50 : 430,005.09 = 175,646.42 : x
  2. Step 2: Convert to fraction form
    311,604.50/430,005.09 = 175,646.42/x
  3. Step 3: Cross multiply
    311,604.50x = 430,005.09 × 175,646.42
  4. Step 4: Simplify right side
    311,604.50x = 75,528,854,640.28
  5. Step 5: Solve for x
    x = 75,528,854,640.28/311,604.50
  6. Step 6: Final answer
    x = 242,386.92

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1.5x scale

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.