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Finding the Fourth Proportional to 409,969.80, 614,954.70 and 144,030.60

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Solution

The fourth proportional to 409,969.80, 614,954.70 and 144,030.60 is: 216,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,969.80 : 614,954.70 = 144,030.60 : x
  2. Step 2: Convert to fraction form
    409,969.80/614,954.70 = 144,030.60/x
  3. Step 3: Cross multiply
    409,969.80x = 614,954.70 × 144,030.60
  4. Step 4: Simplify right side
    409,969.80x = 88,572,294,413.82
  5. Step 5: Solve for x
    x = 88,572,294,413.82/409,969.80
  6. Step 6: Final answer
    x = 216,045.90

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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.