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Finding the Fourth Proportional to 380,753.66, 525,433.75 and 208,670.30

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Solution

The fourth proportional to 380,753.66, 525,433.75 and 208,670.30 is: 287,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,753.66 : 525,433.75 = 208,670.30 : x
  2. Step 2: Convert to fraction form
    380,753.66/525,433.75 = 208,670.30/x
  3. Step 3: Cross multiply
    380,753.66x = 525,433.75 × 208,670.30
  4. Step 4: Simplify right side
    380,753.66x = 109,642,418,242.63
  5. Step 5: Solve for x
    x = 109,642,418,242.63/380,753.66
  6. Step 6: Final answer
    x = 287,961.56

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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.