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Finding the Fourth Proportional to 421,218.40, 632,000.40 and 155,106.40

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Solution

The fourth proportional to 421,218.40, 632,000.40 and 155,106.40 is: 232,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,218.40 : 632,000.40 = 155,106.40 : x
  2. Step 2: Convert to fraction form
    421,218.40/632,000.40 = 155,106.40/x
  3. Step 3: Cross multiply
    421,218.40x = 632,000.40 × 155,106.40
  4. Step 4: Simplify right side
    421,218.40x = 98,027,306,842.56
  5. Step 5: Solve for x
    x = 98,027,306,842.56/421,218.40
  6. Step 6: Final answer
    x = 232,723.23

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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.