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Finding the Fourth Proportional to 421,957.18, 632,867.52 and 155,843.02

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Solution

The fourth proportional to 421,957.18, 632,867.52 and 155,843.02 is: 233,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,957.18 : 632,867.52 = 155,843.02 : x
  2. Step 2: Convert to fraction form
    421,957.18/632,867.52 = 155,843.02/x
  3. Step 3: Cross multiply
    421,957.18x = 632,867.52 × 155,843.02
  4. Step 4: Simplify right side
    421,957.18x = 98,627,985,576.71
  5. Step 5: Solve for x
    x = 98,627,985,576.71/421,957.18
  6. Step 6: Final answer
    x = 233,739.32

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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.