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Finding the Fourth Proportional to 421,656.30, 632,484.45 and 279,938.70

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Solution

The fourth proportional to 421,656.30, 632,484.45 and 279,938.70 is: 419,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,656.30 : 632,484.45 = 279,938.70 : x
  2. Step 2: Convert to fraction form
    421,656.30/632,484.45 = 279,938.70/x
  3. Step 3: Cross multiply
    421,656.30x = 632,484.45 × 279,938.70
  4. Step 4: Simplify right side
    421,656.30x = 177,056,874,703.22
  5. Step 5: Solve for x
    x = 177,056,874,703.22/421,656.30
  6. Step 6: Final answer
    x = 419,908.05

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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.