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Finding the Fourth Proportional to 421,218.90, 632,001.15 and 155,106.90

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Solution

The fourth proportional to 421,218.90, 632,001.15 and 155,106.90 is: 232,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,218.90 : 632,001.15 = 155,106.90 : x
  2. Step 2: Convert to fraction form
    421,218.90/632,001.15 = 155,106.90/x
  3. Step 3: Cross multiply
    421,218.90x = 632,001.15 × 155,106.90
  4. Step 4: Simplify right side
    421,218.90x = 98,027,739,172.94
  5. Step 5: Solve for x
    x = 98,027,739,172.94/421,218.90
  6. Step 6: Final answer
    x = 232,723.98

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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.