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Finding the Fourth Proportional to 488,093.52, 728,817.78 and 430,688.82

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Solution

The fourth proportional to 488,093.52, 728,817.78 and 430,688.82 is: 643,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,093.52 : 728,817.78 = 430,688.82 : x
  2. Step 2: Convert to fraction form
    488,093.52/728,817.78 = 430,688.82/x
  3. Step 3: Cross multiply
    488,093.52x = 728,817.78 × 430,688.82
  4. Step 4: Simplify right side
    488,093.52x = 313,893,669,663.22
  5. Step 5: Solve for x
    x = 313,893,669,663.22/488,093.52
  6. Step 6: Final answer
    x = 643,101.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.