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Finding the Fourth Proportional to 382,390.30, 573,068.78 and 145,603.81

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Solution

The fourth proportional to 382,390.30, 573,068.78 and 145,603.81 is: 218,208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,390.30 : 573,068.78 = 145,603.81 : x
  2. Step 2: Convert to fraction form
    382,390.30/573,068.78 = 145,603.81/x
  3. Step 3: Cross multiply
    382,390.30x = 573,068.78 × 145,603.81
  4. Step 4: Simplify right side
    382,390.30x = 83,440,997,760.05
  5. Step 5: Solve for x
    x = 83,440,997,760.05/382,390.30
  6. Step 6: Final answer
    x = 218,208.98

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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.