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Finding the Fourth Proportional to 405,637.50, 608,326.86 and 139,333.80

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Solution

The fourth proportional to 405,637.50, 608,326.86 and 139,333.80 is: 208,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,637.50 : 608,326.86 = 139,333.80 : x
  2. Step 2: Convert to fraction form
    405,637.50/608,326.86 = 139,333.80/x
  3. Step 3: Cross multiply
    405,637.50x = 608,326.86 × 139,333.80
  4. Step 4: Simplify right side
    405,637.50x = 84,760,493,045.87
  5. Step 5: Solve for x
    x = 84,760,493,045.87/405,637.50
  6. Step 6: Final answer
    x = 208,956.26

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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.