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Finding the Fourth Proportional to 381,880.80, 571,460.40 and 332,503.20

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Solution

The fourth proportional to 381,880.80, 571,460.40 and 332,503.20 is: 497,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,880.80 : 571,460.40 = 332,503.20 : x
  2. Step 2: Convert to fraction form
    381,880.80/571,460.40 = 332,503.20/x
  3. Step 3: Cross multiply
    381,880.80x = 571,460.40 × 332,503.20
  4. Step 4: Simplify right side
    381,880.80x = 190,012,411,673.28
  5. Step 5: Solve for x
    x = 190,012,411,673.28/381,880.80
  6. Step 6: Final answer
    x = 497,569.95

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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.