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Finding the Fourth Proportional to 421,244.94, 631,907.01 and 155,010.54

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Solution

The fourth proportional to 421,244.94, 631,907.01 and 155,010.54 is: 232,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,244.94 : 631,907.01 = 155,010.54 : x
  2. Step 2: Convert to fraction form
    421,244.94/631,907.01 = 155,010.54/x
  3. Step 3: Cross multiply
    421,244.94x = 631,907.01 × 155,010.54
  4. Step 4: Simplify right side
    421,244.94x = 97,952,246,849.89
  5. Step 5: Solve for x
    x = 97,952,246,849.89/421,244.94
  6. Step 6: Final answer
    x = 232,530.38

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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.