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Finding the Fourth Proportional to 421,585.11, 632,385.90 and 155,208.51

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Solution

The fourth proportional to 421,585.11, 632,385.90 and 155,208.51 is: 232,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,585.11 : 632,385.90 = 155,208.51 : x
  2. Step 2: Convert to fraction form
    421,585.11/632,385.90 = 155,208.51/x
  3. Step 3: Cross multiply
    421,585.11x = 632,385.90 × 155,208.51
  4. Step 4: Simplify right side
    421,585.11x = 98,151,673,284.01
  5. Step 5: Solve for x
    x = 98,151,673,284.01/421,585.11
  6. Step 6: Final answer
    x = 232,815.80

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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.