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Finding the Fourth Proportional to 665,312.80, 997,969.20 and 192,013.60

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Solution

The fourth proportional to 665,312.80, 997,969.20 and 192,013.60 is: 288,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,312.80 : 997,969.20 = 192,013.60 : x
  2. Step 2: Convert to fraction form
    665,312.80/997,969.20 = 192,013.60/x
  3. Step 3: Cross multiply
    665,312.80x = 997,969.20 × 192,013.60
  4. Step 4: Simplify right side
    665,312.80x = 191,623,658,781.12
  5. Step 5: Solve for x
    x = 191,623,658,781.12/665,312.80
  6. Step 6: Final answer
    x = 288,020.40

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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.