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Finding the Fourth Proportional to 442,245.76, 610,386.24 and 308,032

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Solution

The fourth proportional to 442,245.76, 610,386.24 and 308,032 is: 425,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,245.76 : 610,386.24 = 308,032 : x
  2. Step 2: Convert to fraction form
    442,245.76/610,386.24 = 308,032/x
  3. Step 3: Cross multiply
    442,245.76x = 610,386.24 × 308,032
  4. Step 4: Simplify right side
    442,245.76x = 188,018,494,279.68
  5. Step 5: Solve for x
    x = 188,018,494,279.68/442,245.76
  6. Step 6: Final answer
    x = 425,144.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.