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Finding the Fourth Proportional to 659,617.35, 910,840.07 and 415,009.95

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Solution

The fourth proportional to 659,617.35, 910,840.07 and 415,009.95 is: 573,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,617.35 : 910,840.07 = 415,009.95 : x
  2. Step 2: Convert to fraction form
    659,617.35/910,840.07 = 415,009.95/x
  3. Step 3: Cross multiply
    659,617.35x = 910,840.07 × 415,009.95
  4. Step 4: Simplify right side
    659,617.35x = 378,007,691,908.70
  5. Step 5: Solve for x
    x = 378,007,691,908.70/659,617.35
  6. Step 6: Final answer
    x = 573,071.18

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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.