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Finding the Fourth Proportional to 388,421.76, 582,657.96 and 122,192.64

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Solution

The fourth proportional to 388,421.76, 582,657.96 and 122,192.64 is: 183,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,421.76 : 582,657.96 = 122,192.64 : x
  2. Step 2: Convert to fraction form
    388,421.76/582,657.96 = 122,192.64/x
  3. Step 3: Cross multiply
    388,421.76x = 582,657.96 × 122,192.64
  4. Step 4: Simplify right side
    388,421.76x = 71,196,514,349.41
  5. Step 5: Solve for x
    x = 71,196,514,349.41/388,421.76
  6. Step 6: Final answer
    x = 183,296.93

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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.