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Finding the Fourth Proportional to 311,390.40, 429,720.07 and 175,425.98

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Solution

The fourth proportional to 311,390.40, 429,720.07 and 175,425.98 is: 242,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,390.40 : 429,720.07 = 175,425.98 : x
  2. Step 2: Convert to fraction form
    311,390.40/429,720.07 = 175,425.98/x
  3. Step 3: Cross multiply
    311,390.40x = 429,720.07 × 175,425.98
  4. Step 4: Simplify right side
    311,390.40x = 75,384,064,564.35
  5. Step 5: Solve for x
    x = 75,384,064,564.35/311,390.40
  6. Step 6: Final answer
    x = 242,088.59

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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.