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Finding the Fourth Proportional to 294,385.80, 406,259.88 and 165,334.56

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Solution

The fourth proportional to 294,385.80, 406,259.88 and 165,334.56 is: 228,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,385.80 : 406,259.88 = 165,334.56 : x
  2. Step 2: Convert to fraction form
    294,385.80/406,259.88 = 165,334.56/x
  3. Step 3: Cross multiply
    294,385.80x = 406,259.88 × 165,334.56
  4. Step 4: Simplify right side
    294,385.80x = 67,168,798,505.45
  5. Step 5: Solve for x
    x = 67,168,798,505.45/294,385.80
  6. Step 6: Final answer
    x = 228,165.89

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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.