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Finding the Fourth Proportional to 438,858.76, 658,288.20 and 106,434.76

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Solution

The fourth proportional to 438,858.76, 658,288.20 and 106,434.76 is: 159,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,858.76 : 658,288.20 = 106,434.76 : x
  2. Step 2: Convert to fraction form
    438,858.76/658,288.20 = 106,434.76/x
  3. Step 3: Cross multiply
    438,858.76x = 658,288.20 × 106,434.76
  4. Step 4: Simplify right side
    438,858.76x = 70,064,746,577.83
  5. Step 5: Solve for x
    x = 70,064,746,577.83/438,858.76
  6. Step 6: Final answer
    x = 159,652.15

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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.