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Finding the Fourth Proportional to 420,952.99, 631,678.63 and 154,900.34

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Solution

The fourth proportional to 420,952.99, 631,678.63 and 154,900.34 is: 232,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,952.99 : 631,678.63 = 154,900.34 : x
  2. Step 2: Convert to fraction form
    420,952.99/631,678.63 = 154,900.34/x
  3. Step 3: Cross multiply
    420,952.99x = 631,678.63 × 154,900.34
  4. Step 4: Simplify right side
    420,952.99x = 97,847,232,188.94
  5. Step 5: Solve for x
    x = 97,847,232,188.94/420,952.99
  6. Step 6: Final answer
    x = 232,442.19

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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.