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Finding the Fourth Proportional to 409,413.46, 614,177.61 and 143,113.40

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Solution

The fourth proportional to 409,413.46, 614,177.61 and 143,113.40 is: 214,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,413.46 : 614,177.61 = 143,113.40 : x
  2. Step 2: Convert to fraction form
    409,413.46/614,177.61 = 143,113.40/x
  3. Step 3: Cross multiply
    409,413.46x = 614,177.61 × 143,113.40
  4. Step 4: Simplify right side
    409,413.46x = 87,897,045,255.41
  5. Step 5: Solve for x
    x = 87,897,045,255.41/409,413.46
  6. Step 6: Final answer
    x = 214,690.17

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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.