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Finding the Fourth Proportional to 421,506.90, 631,964.70 and 155,232.90

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Solution

The fourth proportional to 421,506.90, 631,964.70 and 155,232.90 is: 232,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,506.90 : 631,964.70 = 155,232.90 : x
  2. Step 2: Convert to fraction form
    421,506.90/631,964.70 = 155,232.90/x
  3. Step 3: Cross multiply
    421,506.90x = 631,964.70 × 155,232.90
  4. Step 4: Simplify right side
    421,506.90x = 98,101,713,078.63
  5. Step 5: Solve for x
    x = 98,101,713,078.63/421,506.90
  6. Step 6: Final answer
    x = 232,740.47

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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.