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Finding the Fourth Proportional to 382,358.77, 573,202.81 and 145,543.93

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Solution

The fourth proportional to 382,358.77, 573,202.81 and 145,543.93 is: 218,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,358.77 : 573,202.81 = 145,543.93 : x
  2. Step 2: Convert to fraction form
    382,358.77/573,202.81 = 145,543.93/x
  3. Step 3: Cross multiply
    382,358.77x = 573,202.81 × 145,543.93
  4. Step 4: Simplify right side
    382,358.77x = 83,426,189,654.44
  5. Step 5: Solve for x
    x = 83,426,189,654.44/382,358.77
  6. Step 6: Final answer
    x = 218,188.25

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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.