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Finding the Fourth Proportional to 311,412.60, 429,768.72 and 180,616.82

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Solution

The fourth proportional to 311,412.60, 429,768.72 and 180,616.82 is: 249,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,412.60 : 429,768.72 = 180,616.82 : x
  2. Step 2: Convert to fraction form
    311,412.60/429,768.72 = 180,616.82/x
  3. Step 3: Cross multiply
    311,412.60x = 429,768.72 × 180,616.82
  4. Step 4: Simplify right side
    311,412.60x = 77,623,457,393.03
  5. Step 5: Solve for x
    x = 77,623,457,393.03/311,412.60
  6. Step 6: Final answer
    x = 249,262.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.