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Finding the Fourth Proportional to 438,657.30, 658,009.32 and 139,161.82

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Solution

The fourth proportional to 438,657.30, 658,009.32 and 139,161.82 is: 208,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,657.30 : 658,009.32 = 139,161.82 : x
  2. Step 2: Convert to fraction form
    438,657.30/658,009.32 = 139,161.82/x
  3. Step 3: Cross multiply
    438,657.30x = 658,009.32 × 139,161.82
  4. Step 4: Simplify right side
    438,657.30x = 91,569,774,548.16
  5. Step 5: Solve for x
    x = 91,569,774,548.16/438,657.30
  6. Step 6: Final answer
    x = 208,750.14

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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.