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Finding the Fourth Proportional to 311,813.90, 430,315.71 and 174,004.88

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Solution

The fourth proportional to 311,813.90, 430,315.71 and 174,004.88 is: 240,133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,813.90 : 430,315.71 = 174,004.88 : x
  2. Step 2: Convert to fraction form
    311,813.90/430,315.71 = 174,004.88/x
  3. Step 3: Cross multiply
    311,813.90x = 430,315.71 × 174,004.88
  4. Step 4: Simplify right side
    311,813.90x = 74,877,033,480.66
  5. Step 5: Solve for x
    x = 74,877,033,480.66/311,813.90
  6. Step 6: Final answer
    x = 240,133.73

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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.