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Finding the Fourth Proportional to 659,506.84, 988,567.71 and 419,804.35

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Solution

The fourth proportional to 659,506.84, 988,567.71 and 419,804.35 is: 629,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,506.84 : 988,567.71 = 419,804.35 : x
  2. Step 2: Convert to fraction form
    659,506.84/988,567.71 = 419,804.35/x
  3. Step 3: Cross multiply
    659,506.84x = 988,567.71 × 419,804.35
  4. Step 4: Simplify right side
    659,506.84x = 415,005,020,881.85
  5. Step 5: Solve for x
    x = 415,005,020,881.85/659,506.84
  6. Step 6: Final answer
    x = 629,265.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.