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Finding the Fourth Proportional to 292,004.40, 438,006.60 and 171,938.10

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Solution

The fourth proportional to 292,004.40, 438,006.60 and 171,938.10 is: 257,907.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,004.40 : 438,006.60 = 171,938.10 : x
  2. Step 2: Convert to fraction form
    292,004.40/438,006.60 = 171,938.10/x
  3. Step 3: Cross multiply
    292,004.40x = 438,006.60 × 171,938.10
  4. Step 4: Simplify right side
    292,004.40x = 75,310,022,591.46
  5. Step 5: Solve for x
    x = 75,310,022,591.46/292,004.40
  6. Step 6: Final answer
    x = 257,907.15

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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.