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Finding the Fourth Proportional to 411,281.80, 615,540.30 and 286,865.80

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Solution

The fourth proportional to 411,281.80, 615,540.30 and 286,865.80 is: 429,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,281.80 : 615,540.30 = 286,865.80 : x
  2. Step 2: Convert to fraction form
    411,281.80/615,540.30 = 286,865.80/x
  3. Step 3: Cross multiply
    411,281.80x = 615,540.30 × 286,865.80
  4. Step 4: Simplify right side
    411,281.80x = 176,577,460,591.74
  5. Step 5: Solve for x
    x = 176,577,460,591.74/411,281.80
  6. Step 6: Final answer
    x = 429,334.49

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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.