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Finding the Fourth Proportional to 309,496, 427,110.96 and 175,360

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Solution

The fourth proportional to 309,496, 427,110.96 and 175,360 is: 242,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,496 : 427,110.96 = 175,360 : x
  2. Step 2: Convert to fraction form
    309,496/427,110.96 = 175,360/x
  3. Step 3: Cross multiply
    309,496x = 427,110.96 × 175,360
  4. Step 4: Simplify right side
    309,496x = 74,898,177,945.60
  5. Step 5: Solve for x
    x = 74,898,177,945.60/309,496
  6. Step 6: Final answer
    x = 242,000.47

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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.