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Finding the Fourth Proportional to 328,962.67, 493,489.16 and 115,681.77

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Solution

The fourth proportional to 328,962.67, 493,489.16 and 115,681.77 is: 173,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,962.67 : 493,489.16 = 115,681.77 : x
  2. Step 2: Convert to fraction form
    328,962.67/493,489.16 = 115,681.77/x
  3. Step 3: Cross multiply
    328,962.67x = 493,489.16 × 115,681.77
  4. Step 4: Simplify right side
    328,962.67x = 57,087,699,360.01
  5. Step 5: Solve for x
    x = 57,087,699,360.01/328,962.67
  6. Step 6: Final answer
    x = 173,538.53

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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.