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Finding the Fourth Proportional to 330,180.40, 495,270.60 and 282,941.20

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Solution

The fourth proportional to 330,180.40, 495,270.60 and 282,941.20 is: 424,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,180.40 : 495,270.60 = 282,941.20 : x
  2. Step 2: Convert to fraction form
    330,180.40/495,270.60 = 282,941.20/x
  3. Step 3: Cross multiply
    330,180.40x = 495,270.60 × 282,941.20
  4. Step 4: Simplify right side
    330,180.40x = 140,132,457,888.72
  5. Step 5: Solve for x
    x = 140,132,457,888.72/330,180.40
  6. Step 6: Final answer
    x = 424,411.80

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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.