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Finding the Fourth Proportional to 319,189.64, 478,898.76 and 136,743.89

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Solution

The fourth proportional to 319,189.64, 478,898.76 and 136,743.89 is: 205,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,189.64 : 478,898.76 = 136,743.89 : x
  2. Step 2: Convert to fraction form
    319,189.64/478,898.76 = 136,743.89/x
  3. Step 3: Cross multiply
    319,189.64x = 478,898.76 × 136,743.89
  4. Step 4: Simplify right side
    319,189.64x = 65,486,476,964.08
  5. Step 5: Solve for x
    x = 65,486,476,964.08/319,189.64
  6. Step 6: Final answer
    x = 205,164.80

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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.