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Finding the Fourth Proportional to 380,279.54, 570,731.16 and 155,642.15

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Solution

The fourth proportional to 380,279.54, 570,731.16 and 155,642.15 is: 233,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,279.54 : 570,731.16 = 155,642.15 : x
  2. Step 2: Convert to fraction form
    380,279.54/570,731.16 = 155,642.15/x
  3. Step 3: Cross multiply
    380,279.54x = 570,731.16 × 155,642.15
  4. Step 4: Simplify right side
    380,279.54x = 88,829,824,814.39
  5. Step 5: Solve for x
    x = 88,829,824,814.39/380,279.54
  6. Step 6: Final answer
    x = 233,590.86

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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.