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Finding the Fourth Proportional to 420,938.99, 631,657.60 and 154,886.34

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Solution

The fourth proportional to 420,938.99, 631,657.60 and 154,886.34 is: 232,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,938.99 : 631,657.60 = 154,886.34 : x
  2. Step 2: Convert to fraction form
    420,938.99/631,657.60 = 154,886.34/x
  3. Step 3: Cross multiply
    420,938.99x = 631,657.60 × 154,886.34
  4. Step 4: Simplify right side
    420,938.99x = 97,835,133,797.18
  5. Step 5: Solve for x
    x = 97,835,133,797.18/420,938.99
  6. Step 6: Final answer
    x = 232,421.17

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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.