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Finding the Fourth Proportional to 382,134.60, 573,428.70 and 145,501.20

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Solution

The fourth proportional to 382,134.60, 573,428.70 and 145,501.20 is: 218,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,134.60 : 573,428.70 = 145,501.20 : x
  2. Step 2: Convert to fraction form
    382,134.60/573,428.70 = 145,501.20/x
  3. Step 3: Cross multiply
    382,134.60x = 573,428.70 × 145,501.20
  4. Step 4: Simplify right side
    382,134.60x = 83,434,563,964.44
  5. Step 5: Solve for x
    x = 83,434,563,964.44/382,134.60
  6. Step 6: Final answer
    x = 218,338.16

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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.