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Finding the Fourth Proportional to 292,042.80, 438,064.20 and 203,396.40

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Solution

The fourth proportional to 292,042.80, 438,064.20 and 203,396.40 is: 305,094.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,042.80 : 438,064.20 = 203,396.40 : x
  2. Step 2: Convert to fraction form
    292,042.80/438,064.20 = 203,396.40/x
  3. Step 3: Cross multiply
    292,042.80x = 438,064.20 × 203,396.40
  4. Step 4: Simplify right side
    292,042.80x = 89,100,681,248.88
  5. Step 5: Solve for x
    x = 89,100,681,248.88/292,042.80
  6. Step 6: Final answer
    x = 305,094.60

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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.