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Finding the Fourth Proportional to 291,276.32, 402,026.88 and 190,616

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Solution

The fourth proportional to 291,276.32, 402,026.88 and 190,616 is: 263,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,276.32 : 402,026.88 = 190,616 : x
  2. Step 2: Convert to fraction form
    291,276.32/402,026.88 = 190,616/x
  3. Step 3: Cross multiply
    291,276.32x = 402,026.88 × 190,616
  4. Step 4: Simplify right side
    291,276.32x = 76,632,755,758.08
  5. Step 5: Solve for x
    x = 76,632,755,758.08/291,276.32
  6. Step 6: Final answer
    x = 263,092.98

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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.