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Finding the Fourth Proportional to 650,605.62, 897,728.63 and 408,716.89

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Solution

The fourth proportional to 650,605.62, 897,728.63 and 408,716.89 is: 563,962.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,605.62 : 897,728.63 = 408,716.89 : x
  2. Step 2: Convert to fraction form
    650,605.62/897,728.63 = 408,716.89/x
  3. Step 3: Cross multiply
    650,605.62x = 897,728.63 × 408,716.89
  4. Step 4: Simplify right side
    650,605.62x = 366,916,850,962.34
  5. Step 5: Solve for x
    x = 366,916,850,962.34/650,605.62
  6. Step 6: Final answer
    x = 563,962.01

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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.