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Finding the Fourth Proportional to 421,577.11, 632,373.90 and 155,200.51

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Solution

The fourth proportional to 421,577.11, 632,373.90 and 155,200.51 is: 232,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,577.11 : 632,373.90 = 155,200.51 : x
  2. Step 2: Convert to fraction form
    421,577.11/632,373.90 = 155,200.51/x
  3. Step 3: Cross multiply
    421,577.11x = 632,373.90 × 155,200.51
  4. Step 4: Simplify right side
    421,577.11x = 98,144,751,790.69
  5. Step 5: Solve for x
    x = 98,144,751,790.69/421,577.11
  6. Step 6: Final answer
    x = 232,803.80

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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.