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Finding the Fourth Proportional to 421,814.40, 632,777.10 and 155,761.80

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Solution

The fourth proportional to 421,814.40, 632,777.10 and 155,761.80 is: 233,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,814.40 : 632,777.10 = 155,761.80 : x
  2. Step 2: Convert to fraction form
    421,814.40/632,777.10 = 155,761.80/x
  3. Step 3: Cross multiply
    421,814.40x = 632,777.10 × 155,761.80
  4. Step 4: Simplify right side
    421,814.40x = 98,562,500,094.78
  5. Step 5: Solve for x
    x = 98,562,500,094.78/421,814.40
  6. Step 6: Final answer
    x = 233,663.19

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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.