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Finding the Fourth Proportional to 309,648.06, 427,320.75 and 175,512.06

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Solution

The fourth proportional to 309,648.06, 427,320.75 and 175,512.06 is: 242,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,648.06 : 427,320.75 = 175,512.06 : x
  2. Step 2: Convert to fraction form
    309,648.06/427,320.75 = 175,512.06/x
  3. Step 3: Cross multiply
    309,648.06x = 427,320.75 × 175,512.06
  4. Step 4: Simplify right side
    309,648.06x = 74,999,945,113.25
  5. Step 5: Solve for x
    x = 74,999,945,113.25/309,648.06
  6. Step 6: Final answer
    x = 242,210.29

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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.