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Finding the Fourth Proportional to 421,704.66, 632,151 and 155,319.90

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Solution

The fourth proportional to 421,704.66, 632,151 and 155,319.90 is: 232,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,704.66 : 632,151 = 155,319.90 : x
  2. Step 2: Convert to fraction form
    421,704.66/632,151 = 155,319.90/x
  3. Step 3: Cross multiply
    421,704.66x = 632,151 × 155,319.90
  4. Step 4: Simplify right side
    421,704.66x = 98,185,630,104.90
  5. Step 5: Solve for x
    x = 98,185,630,104.90/421,704.66
  6. Step 6: Final answer
    x = 232,830.32

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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.