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Finding the Fourth Proportional to 421,409.90, 631,819.55 and 155,135.76

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Solution

The fourth proportional to 421,409.90, 631,819.55 and 155,135.76 is: 232,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,409.90 : 631,819.55 = 155,135.76 : x
  2. Step 2: Convert to fraction form
    421,409.90/631,819.55 = 155,135.76/x
  3. Step 3: Cross multiply
    421,409.90x = 631,819.55 × 155,135.76
  4. Step 4: Simplify right side
    421,409.90x = 98,017,805,296.43
  5. Step 5: Solve for x
    x = 98,017,805,296.43/421,409.90
  6. Step 6: Final answer
    x = 232,594.93

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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.