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Finding the Fourth Proportional to 475,418.88, 712,977.66 and 155,496.78

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Solution

The fourth proportional to 475,418.88, 712,977.66 and 155,496.78 is: 233,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,418.88 : 712,977.66 = 155,496.78 : x
  2. Step 2: Convert to fraction form
    475,418.88/712,977.66 = 155,496.78/x
  3. Step 3: Cross multiply
    475,418.88x = 712,977.66 × 155,496.78
  4. Step 4: Simplify right side
    475,418.88x = 110,865,730,341.94
  5. Step 5: Solve for x
    x = 110,865,730,341.94/475,418.88
  6. Step 6: Final answer
    x = 233,195.89

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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.