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Finding the Fourth Proportional to 659,847.31, 910,377.66 and 369,416.20

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Solution

The fourth proportional to 659,847.31, 910,377.66 and 369,416.20 is: 509,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,847.31 : 910,377.66 = 369,416.20 : x
  2. Step 2: Convert to fraction form
    659,847.31/910,377.66 = 369,416.20/x
  3. Step 3: Cross multiply
    659,847.31x = 910,377.66 × 369,416.20
  4. Step 4: Simplify right side
    659,847.31x = 336,308,255,722.09
  5. Step 5: Solve for x
    x = 336,308,255,722.09/659,847.31
  6. Step 6: Final answer
    x = 509,675.88

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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.