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Finding the Fourth Proportional to 415,412.61, 623,118.69 and 99,869.43

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Solution

The fourth proportional to 415,412.61, 623,118.69 and 99,869.43 is: 149,804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,412.61 : 623,118.69 = 99,869.43 : x
  2. Step 2: Convert to fraction form
    415,412.61/623,118.69 = 99,869.43/x
  3. Step 3: Cross multiply
    415,412.61x = 623,118.69 × 99,869.43
  4. Step 4: Simplify right side
    415,412.61x = 62,230,508,392.65
  5. Step 5: Solve for x
    x = 62,230,508,392.65/415,412.61
  6. Step 6: Final answer
    x = 149,804.09

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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.