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Finding the Fourth Proportional to 443,931.75, 665,903.78 and 144,413.90

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Solution

The fourth proportional to 443,931.75, 665,903.78 and 144,413.90 is: 216,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,931.75 : 665,903.78 = 144,413.90 : x
  2. Step 2: Convert to fraction form
    443,931.75/665,903.78 = 144,413.90/x
  3. Step 3: Cross multiply
    443,931.75x = 665,903.78 × 144,413.90
  4. Step 4: Simplify right side
    443,931.75x = 96,165,761,533.51
  5. Step 5: Solve for x
    x = 96,165,761,533.51/443,931.75
  6. Step 6: Final answer
    x = 216,622.85

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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.