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Finding the Fourth Proportional to 287,404.58, 431,128.74 and 97,806.26

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Solution

The fourth proportional to 287,404.58, 431,128.74 and 97,806.26 is: 146,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,404.58 : 431,128.74 = 97,806.26 : x
  2. Step 2: Convert to fraction form
    287,404.58/431,128.74 = 97,806.26/x
  3. Step 3: Cross multiply
    287,404.58x = 431,128.74 × 97,806.26
  4. Step 4: Simplify right side
    287,404.58x = 42,167,089,637.91
  5. Step 5: Solve for x
    x = 42,167,089,637.91/287,404.58
  6. Step 6: Final answer
    x = 146,716.83

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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.