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Finding the Fourth Proportional to 292,209.40, 438,314.10 and 285,648.40

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Solution

The fourth proportional to 292,209.40, 438,314.10 and 285,648.40 is: 428,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,209.40 : 438,314.10 = 285,648.40 : x
  2. Step 2: Convert to fraction form
    292,209.40/438,314.10 = 285,648.40/x
  3. Step 3: Cross multiply
    292,209.40x = 438,314.10 × 285,648.40
  4. Step 4: Simplify right side
    292,209.40x = 125,203,721,362.44
  5. Step 5: Solve for x
    x = 125,203,721,362.44/292,209.40
  6. Step 6: Final answer
    x = 428,472.60

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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.