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Finding the Fourth Proportional to 589,032, 883,556.64 and 145,800

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Solution

The fourth proportional to 589,032, 883,556.64 and 145,800 is: 218,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,032 : 883,556.64 = 145,800 : x
  2. Step 2: Convert to fraction form
    589,032/883,556.64 = 145,800/x
  3. Step 3: Cross multiply
    589,032x = 883,556.64 × 145,800
  4. Step 4: Simplify right side
    589,032x = 128,822,558,112
  5. Step 5: Solve for x
    x = 128,822,558,112/589,032
  6. Step 6: Final answer
    x = 218,702.14

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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.