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Finding the Fourth Proportional to 292,443.90, 438,669.48 and 102,909.96

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Solution

The fourth proportional to 292,443.90, 438,669.48 and 102,909.96 is: 154,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,443.90 : 438,669.48 = 102,909.96 : x
  2. Step 2: Convert to fraction form
    292,443.90/438,669.48 = 102,909.96/x
  3. Step 3: Cross multiply
    292,443.90x = 438,669.48 × 102,909.96
  4. Step 4: Simplify right side
    292,443.90x = 45,143,458,640.02
  5. Step 5: Solve for x
    x = 45,143,458,640.02/292,443.90
  6. Step 6: Final answer
    x = 154,366.22

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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.