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Finding the Fourth Proportional to 421,280.31, 631,858.15 and 154,978.54

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Solution

The fourth proportional to 421,280.31, 631,858.15 and 154,978.54 is: 232,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,280.31 : 631,858.15 = 154,978.54 : x
  2. Step 2: Convert to fraction form
    421,280.31/631,858.15 = 154,978.54/x
  3. Step 3: Cross multiply
    421,280.31x = 631,858.15 × 154,978.54
  4. Step 4: Simplify right side
    421,280.31x = 97,924,453,574.10
  5. Step 5: Solve for x
    x = 97,924,453,574.10/421,280.31
  6. Step 6: Final answer
    x = 232,444.89

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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.