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Finding the Fourth Proportional to 319,109.67, 478,747.53 and 119,445.75

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Solution

The fourth proportional to 319,109.67, 478,747.53 and 119,445.75 is: 179,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,109.67 : 478,747.53 = 119,445.75 : x
  2. Step 2: Convert to fraction form
    319,109.67/478,747.53 = 119,445.75/x
  3. Step 3: Cross multiply
    319,109.67x = 478,747.53 × 119,445.75
  4. Step 4: Simplify right side
    319,109.67x = 57,184,357,781.50
  5. Step 5: Solve for x
    x = 57,184,357,781.50/319,109.67
  6. Step 6: Final answer
    x = 179,199.70

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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.