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Finding the Fourth Proportional to 258,994.20, 357,410.70 and 145,817.76

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Solution

The fourth proportional to 258,994.20, 357,410.70 and 145,817.76 is: 201,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,994.20 : 357,410.70 = 145,817.76 : x
  2. Step 2: Convert to fraction form
    258,994.20/357,410.70 = 145,817.76/x
  3. Step 3: Cross multiply
    258,994.20x = 357,410.70 × 145,817.76
  4. Step 4: Simplify right side
    258,994.20x = 52,116,827,674.03
  5. Step 5: Solve for x
    x = 52,116,827,674.03/258,994.20
  6. Step 6: Final answer
    x = 201,227.78

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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.