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Finding the Fourth Proportional to 438,724, 658,089.42 and 106,300

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Solution

The fourth proportional to 438,724, 658,089.42 and 106,300 is: 159,450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,724 : 658,089.42 = 106,300 : x
  2. Step 2: Convert to fraction form
    438,724/658,089.42 = 106,300/x
  3. Step 3: Cross multiply
    438,724x = 658,089.42 × 106,300
  4. Step 4: Simplify right side
    438,724x = 69,954,905,346
  5. Step 5: Solve for x
    x = 69,954,905,346/438,724
  6. Step 6: Final answer
    x = 159,450.83

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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.