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Finding the Fourth Proportional to 309,482.80, 464,355.46 and 169,077.40

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Solution

The fourth proportional to 309,482.80, 464,355.46 and 169,077.40 is: 253,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,482.80 : 464,355.46 = 169,077.40 : x
  2. Step 2: Convert to fraction form
    309,482.80/464,355.46 = 169,077.40/x
  3. Step 3: Cross multiply
    309,482.80x = 464,355.46 × 169,077.40
  4. Step 4: Simplify right side
    309,482.80x = 78,512,013,852.60
  5. Step 5: Solve for x
    x = 78,512,013,852.60/309,482.80
  6. Step 6: Final answer
    x = 253,687.81

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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.